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3325775232 = 273133121491
BaseRepresentation
bin1100011000111011…
…0100110110000000
322120210000212221110
43012032310312000
523302344301412
61310002523320
7145262423463
oct30616646600
98523025843
103325775232
11145734a17a
12789966540
13410038350
142379a92da
15146e94d3c
hexc63b4d80

3325775232 has 128 divisors (see below), whose sum is σ = 9820984320. Its totient is φ = 990259200.

The previous prime is 3325775231. The next prime is 3325775237. The reversal of 3325775232 is 2325775233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33257752322 = 22121561787569307648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325775231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144007 + ... + 165497.

It is an arithmetic number, because the mean of its divisors is an integer number (76726440).

Almost surely, 23325775232 is an apocalyptic number.

3325775232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325775232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910492160).

3325775232 is an abundant number, since it is smaller than the sum of its proper divisors (6495209088).

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

3325775232 is a wasteful number, since it uses less digits than its factorization.

3325775232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21552 (or 21540 counting only the distinct ones).

The product of its digits is 264600, while the sum is 39.

The square root of 3325775232 is about 57669.5346955392. The cubic root of 3325775232 is about 1492.6716974036.

Subtracting from 3325775232 its reverse (2325775233), we obtain a palindrome (999999999).

The spelling of 3325775232 in words is "three billion, three hundred twenty-five million, seven hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 21491 25792 38688 42982 51584 64473 77376 85964 128946 154752 171928 257892 279383 343856 515784 558766 666221 687712 838149 1031568 1117532 1332442 1375424 1676298 1998663 2063136 2235064 2664884 2750848 3352596 3997326 4126272 4470128 5329768 6705192 7994652 8252544 8660873 8940256 10659536 13410384 15989304 17321746 17880512 21319072 25982619 26820768 31978608 34643492 35761024 42638144 51965238 53641536 63957216 69286984 85276288 103930476 107283072 127914432 138573968 207860952 255828864 277147936 415721904 554295872 831443808 1108591744 1662887616 3325775232