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64439496 = 23331137733
BaseRepresentation
bin1111010111010…
…0010011001000
311111020212101000
43311310103020
5112444030441
610221055000
71411504152
oct365642310
9144225330
1064439496
1133413390
12196b7460
13104728a4
1487b5ad2
1559cd2b6
hex3d744c8

64439496 has 128 divisors (see below), whose sum is σ = 200822400. Its totient is φ = 18973440.

The previous prime is 64439489. The next prime is 64439519. The reversal of 64439496 is 69493446.

It is a happy number.

64439496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×644394965 (a number of 40 digits) contains 55555 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87546 + ... + 88278.

It is an arithmetic number, because the mean of its divisors is an integer number (1568925).

Almost surely, 264439496 is an apocalyptic number.

64439496 is a gapful number since it is divisible by the number (66) 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 64439496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100411200).

64439496 is an abundant number, since it is smaller than the sum of its proper divisors (136382904).

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

64439496 is a wasteful number, since it uses less digits than its factorization.

64439496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 64439496 is about 8027.4215038205. The cubic root of 64439496 is about 400.9135287415.

The spelling of 64439496 in words is "sixty-four million, four hundred thirty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 733 792 814 888 999 1188 1221 1332 1466 1628 1998 2199 2376 2442 2664 2932 3256 3663 3996 4398 4884 5864 6597 7326 7992 8063 8796 9768 10989 13194 14652 16126 17592 19791 21978 24189 26388 27121 29304 32252 39582 43956 48378 52776 54242 64504 72567 79164 81363 87912 96756 108484 145134 158328 162726 193512 216968 217701 244089 290268 298331 325452 435402 488178 580536 596662 650904 732267 870804 894993 976356 1193324 1464534 1741608 1789986 1952712 2386648 2684979 2929068 3579972 5369958 5858136 7159944 8054937 10739916 16109874 21479832 32219748 64439496