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64679424 = 293172477
BaseRepresentation
bin1111011010111…
…0111000000000
311111201001111020
43312232320000
5113024220144
610230145440
71413523515
oct366567000
9144631436
1064679424
1133567677
12197b2280
1310527b64
14883930c
155a29419
hex3daee00

64679424 has 80 divisors (see below), whose sum is σ = 182519568. Its totient is φ = 20283392.

The previous prime is 64679411. The next prime is 64679429. The reversal of 64679424 is 42497646.

64679424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64679429) 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 7 ways as a sum of consecutive naturals, for example, 24874 + ... + 27350.

Almost surely, 264679424 is an apocalyptic number.

64679424 is a gapful number since it is divisible by the number (64) 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 64679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91259784).

64679424 is an abundant number, since it is smaller than the sum of its proper divisors (117840144).

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

64679424 is a wasteful number, since it uses less digits than its factorization.

64679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2499 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 64679424 is about 8042.3518948129. The cubic root of 64679424 is about 401.4104871357.

The spelling of 64679424 in words is "sixty-four million, six hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 2477 3264 4352 4954 6528 7431 8704 9908 13056 14862 19816 26112 29724 39632 42109 59448 79264 84218 118896 126327 158528 168436 237792 252654 317056 336872 475584 505308 634112 673744 951168 1010616 1268224 1347488 1902336 2021232 2694976 3804672 4042464 5389952 8084928 10779904 16169856 21559808 32339712 64679424