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64794816 = 263429431
BaseRepresentation
bin1111011100101…
…1000011000000
311111220220210000
43313023003000
5113041413231
610232440000
71414514112
oct367130300
9144826700
1064794816
1133636339
1219849000
1310568538
1488693b2
155a4d6e6
hex3dcb0c0

64794816 has 140 divisors (see below), whose sum is σ = 199156320. Its totient is φ = 20805120.

The previous prime is 64794799. The next prime is 64794817. The reversal of 64794816 is 61849746.

It is not an unprimeable number, because it can be changed into a prime (64794817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150121 + ... + 150551.

Almost surely, 264794816 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 64794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

64794816 is an abundant number, since it is smaller than the sum of its proper divisors (134361504).

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

64794816 is a wasteful number, since it uses less digits than its factorization.

64794816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 465 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 64794816 is about 8049.5227187703. The cubic root of 64794816 is about 401.6490588365.

The spelling of 64794816 in words is "sixty-four million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 431 432 464 522 576 648 696 783 862 864 928 1044 1293 1296 1392 1566 1724 1728 1856 2088 2349 2586 2592 2784 3132 3448 3879 4176 4698 5172 5184 5568 6264 6896 7758 8352 9396 10344 11637 12499 12528 13792 15516 16704 18792 20688 23274 24998 25056 27584 31032 34911 37497 37584 41376 46548 49996 50112 62064 69822 74994 75168 82752 93096 99992 112491 124128 139644 149988 150336 186192 199984 224982 248256 279288 299976 337473 372384 399968 449964 558576 599952 674946 744768 799936 899928 1012419 1117152 1199904 1349892 1799856 2024838 2234304 2399808 2699784 3599712 4049676 5399568 7199424 8099352 10799136 16198704 21598272 32397408 64794816