Search a number
-
+
64725552 = 24321941577
BaseRepresentation
bin1111011011101…
…0001000110000
311111210101202200
43312322020300
5113032204202
610231143200
71414105143
oct366721060
9144711680
1064725552
11335992a1
1219814b00
1310542b58
14884c05a
155a37e1c
hex3dba230

64725552 has 120 divisors (see below), whose sum is σ = 195664560. Its totient is φ = 19906560.

The previous prime is 64725541. The next prime is 64725553. The reversal of 64725552 is 25552746.

64725552 is a `hidden beast` number, since 647 + 2 + 5 + 5 + 5 + 2 = 666.

64725552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (64725553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111888 + ... + 112464.

It is an arithmetic number, because the mean of its divisors is an integer number (1630538).

Almost surely, 264725552 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 64725552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97832280).

64725552 is an abundant number, since it is smaller than the sum of its proper divisors (130939008).

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

64725552 is a wasteful number, since it uses less digits than its factorization.

64725552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 64725552 is about 8045.2192014885. The cubic root of 64725552 is about 401.5058902884.

The spelling of 64725552 in words is "sixty-four million, seven hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 577 656 684 738 779 912 984 1154 1368 1476 1558 1731 1968 2308 2337 2736 2952 3116 3462 4616 4674 5193 5904 6232 6924 7011 9232 9348 10386 10963 12464 13848 14022 18696 20772 21926 23657 27696 28044 32889 37392 41544 43852 47314 56088 65778 70971 83088 87704 94628 98667 112176 131556 141942 175408 189256 197334 212913 263112 283884 378512 394668 425826 449483 526224 567768 789336 851652 898966 1135536 1348449 1578672 1703304 1797932 2696898 3406608 3595864 4045347 5393796 7191728 8090694 10787592 16181388 21575184 32362776 64725552