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64638464 = 291123499
BaseRepresentation
bin1111011010010…
…0111000000000
311111121222022012
43312210320000
5113021412324
610225232052
71413263222
oct366447000
9144558265
1064638464
1133539920
1219792628
1310512317
148828412
155a1c20e
hex3da4e00

64638464 has 80 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 28047360.

The previous prime is 64638463. The next prime is 64638473. The reversal of 64638464 is 46483646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64638461) 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 7 ways as a sum of consecutive naturals, for example, 129287 + ... + 129785.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 264638464 is an apocalyptic number.

64638464 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 64638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

64638464 is an abundant number, since it is smaller than the sum of its proper divisors (82673536).

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

64638464 is a wasteful number, since it uses less digits than its factorization.

64638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its digits is 331776, while the sum is 41.

The square root of 64638464 is about 8039.8049727590. The cubic root of 64638464 is about 401.3257345488.

The spelling of 64638464 in words is "sixty-four million, six hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 499 506 512 704 736 998 1012 1408 1472 1996 2024 2816 2944 3992 4048 5489 5632 5888 7984 8096 10978 11477 11776 15968 16192 21956 22954 31936 32384 43912 45908 63872 64768 87824 91816 126247 127744 129536 175648 183632 252494 255488 351296 367264 504988 702592 734528 1009976 1405184 1469056 2019952 2810368 2938112 4039904 5876224 8079808 16159616 32319232 64638464