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797032064 = 27192314249
BaseRepresentation
bin101111100000011…
…011111010000000
32001112202102110002
4233200123322000
53113020011224
6211031055132
725515442433
oct5740337200
92045672402
10797032064
113799a3a94
121a2b114a8
13c918400a
1477bd581a
1549e8c9ae
hex2f81be80

797032064 has 64 divisors (see below), whose sum is σ = 1744200000. Its totient is φ = 361101312.

The previous prime is 797032057. The next prime is 797032069. The reversal of 797032064 is 460230797.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7970320642 = 1270520222088200192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (797032069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48812 + ... + 63060.

It is an arithmetic number, because the mean of its divisors is an integer number (27253125).

Almost surely, 2797032064 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 797032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872100000).

797032064 is an abundant number, since it is smaller than the sum of its proper divisors (947167936).

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

797032064 is a wasteful number, since it uses less digits than its factorization.

797032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14305 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 797032064 is about 28231.7563038505. The cubic root of 797032064 is about 927.1683492499.

The spelling of 797032064 in words is "seven hundred ninety-seven million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 6992 13984 14249 27968 28498 55936 56996 113992 227984 270731 327727 455968 541462 655454 911936 1082924 1310908 1823872 2165848 2621816 4331696 5243632 6226813 8663392 10487264 12453626 17326784 20974528 24907252 34653568 41949056 49814504 99629008 199258016 398516032 797032064