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795926040 = 2335713233169
BaseRepresentation
bin101111011100001…
…101111000011000
32001110200020021020
4233130031320120
53112224113130
6210551242440
725503155040
oct5734157030
92043606236
10795926040
11379309018
121a2679420
13c8b87770
14779c8720
1549d1ee10
hex2f70de18

795926040 has 256 divisors, whose sum is σ = 3067545600. Its totient is φ = 160579584.

The previous prime is 795925997. The next prime is 795926057. The reversal of 795926040 is 40629597.

It is a super-2 number, since 2×7959260402 = 1266996522300163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 795925983 and 795926001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249576 + ... + 252744.

It is an arithmetic number, because the mean of its divisors is an integer number (11982600).

Almost surely, 2795926040 is an apocalyptic number.

795926040 is a gapful number since it is divisible by the number (70) 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 795926040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533772800).

795926040 is an abundant number, since it is smaller than the sum of its proper divisors (2271619560).

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

795926040 is a wasteful number, since it uses less digits than its factorization.

795926040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 795926040 is about 28212.1612075360. The cubic root of 795926040 is about 926.7392802911.

The spelling of 795926040 in words is "seven hundred ninety-five million, nine hundred twenty-six thousand, forty".