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64925696 = 212112131
BaseRepresentation
bin1111011110101…
…1000000000000
311112011120022102
43313223000000
5113110110241
610235325532
71415600513
oct367530000
9145146272
1064925696
1133715700
12198b08a8
13105b2c94
1488a0d7a
155a7739b
hex3deb000

64925696 has 78 divisors (see below), whose sum is σ = 143801196. Its totient is φ = 29286400.

The previous prime is 64925677. The next prime is 64925699. The reversal of 64925696 is 69652946.

Its product of digits (699840) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 64925696.

It is not an unprimeable number, because it can be changed into a prime (64925699) 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 5 ways as a sum of consecutive naturals, for example, 495551 + ... + 495681.

Almost surely, 264925696 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 64925696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71900598).

64925696 is an abundant number, since it is smaller than the sum of its proper divisors (78875500).

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

64925696 is a wasteful number, since it uses less digits than its factorization.

64925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its digits is 699840, while the sum is 47.

The square root of 64925696 is about 8057.6482921508. The cubic root of 64925696 is about 401.9193092338.

The spelling of 64925696 in words is "sixty-four million, nine hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 256 262 352 484 512 524 704 968 1024 1048 1408 1441 1936 2048 2096 2816 2882 3872 4096 4192 5632 5764 7744 8384 11264 11528 15488 15851 16768 22528 23056 30976 31702 33536 45056 46112 61952 63404 67072 92224 123904 126808 134144 184448 247808 253616 268288 368896 495616 507232 536576 737792 1014464 1475584 2028928 2951168 4057856 5902336 8115712 16231424 32462848 64925696