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3325056048 = 243341227827
BaseRepresentation
bin1100011000110000…
…0101010000110000
322120201200100102000
43012030011100300
523302203243143
61305535254000
7145253336646
oct30614052060
98521610360
103325056048
1114569a8906
1278967a300
1340cb45bb2
1423785d196
15146da1bd3
hexc6305430

3325056048 has 160 divisors (see below), whose sum is σ = 9831870720. Its totient is φ = 1075253760.

The previous prime is 3325056041. The next prime is 3325056079. The reversal of 3325056048 is 8406505233.

It is a happy number.

3325056048 is a `hidden beast` number, since 3 + 3 + 2 + 50 + 560 + 48 = 666.

It is a super-2 number, since 2×33250560482 = 22111995444682756608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3325056041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4020211 + ... + 4021037.

It is an arithmetic number, because the mean of its divisors is an integer number (61449192).

Almost surely, 23325056048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915935360).

3325056048 is an abundant number, since it is smaller than the sum of its proper divisors (6506814672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3325056048 is a wasteful number, since it uses less digits than its factorization.

3325056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3325056048 is about 57663.2989691017. The cubic root of 3325056048 is about 1492.5640951237.

It can be divided in two parts, 33250 and 56048, that added together give a palindrome (89298).

The spelling of 3325056048 in words is "three billion, three hundred twenty-five million, fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 227 246 328 369 432 454 492 656 681 738 827 908 984 1107 1362 1476 1654 1816 1968 2043 2214 2481 2724 2952 3308 3632 4086 4428 4962 5448 5904 6129 6616 7443 8172 8856 9307 9924 10896 12258 13232 14886 16344 17712 18614 19848 22329 24516 27921 29772 32688 33907 37228 39696 44658 49032 55842 59544 67814 74456 83763 89316 98064 101721 111684 119088 135628 148912 167526 178632 187729 203442 223368 251289 271256 305163 335052 357264 375458 406884 446736 502578 542512 563187 610326 670104 750916 813768 915489 1005156 1126374 1220652 1340208 1501832 1627536 1689561 1830978 2010312 2252748 2441304 3003664 3379122 3661956 4020624 4505496 4882608 5068683 6758244 7323912 7696889 9010992 10137366 13516488 14647824 15393778 20274732 23090667 27032976 30787556 40549464 46181334 61575112 69272001 81098928 92362668 123150224 138544002 184725336 207816003 277088004 369450672 415632006 554176008 831264012 1108352016 1662528024 3325056048