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64639296 = 263437337
BaseRepresentation
bin1111011010010…
…1000101000000
311111122000110000
43312211011000
5113021424141
610225240000
71413265521
oct366450500
9144560400
1064639296
113353a507
1219793000
1310512807
148828848
155a1c5b6
hex3da5140

64639296 has 140 divisors (see below), whose sum is σ = 197373748. Its totient is φ = 20901888.

The previous prime is 64639261. The next prime is 64639313. The reversal of 64639296 is 69293646.

64639296 is a `hidden beast` number, since 6 + 4 + 639 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 25401600 = 6264^2 + 5040^2 .

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 191640 + ... + 191976.

Almost surely, 264639296 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 64639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98686874).

64639296 is an abundant number, since it is smaller than the sum of its proper divisors (132734452).

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

64639296 is a wasteful number, since it uses less digits than its factorization.

64639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 64639296 is about 8039.8567151411. The cubic root of 64639296 is about 401.3274564419.

The spelling of 64639296 in words is "sixty-four million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 324 333 337 432 444 576 592 648 666 674 864 888 999 1011 1184 1296 1332 1348 1728 1776 1998 2022 2368 2592 2664 2696 2997 3033 3552 3996 4044 5184 5328 5392 5994 6066 7104 7992 8088 9099 10656 10784 11988 12132 12469 15984 16176 18198 21312 21568 23976 24264 24938 27297 31968 32352 36396 37407 47952 48528 49876 54594 63936 64704 72792 74814 95904 97056 99752 109188 112221 145584 149628 191808 194112 199504 218376 224442 291168 299256 336663 399008 436752 448884 582336 598512 673326 798016 873504 897768 1009989 1197024 1346652 1747008 1795536 2019978 2394048 2693304 3591072 4039956 5386608 7182144 8079912 10773216 16159824 21546432 32319648 64639296