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795461472 = 2536134361
BaseRepresentation
bin101111011010011…
…100011101100000
32001102210122000000
4233122130131200
53112114231342
6210533300000
725466211441
oct5732343540
92042718000
10795461472
11379020a83
121a2494600
13c8a54180
14779072c8
1549c7c44c
hex2f69c760

795461472 has 336 divisors, whose sum is σ = 2629862928. Its totient is φ = 235146240.

The previous prime is 795461449. The next prime is 795461473. The reversal of 795461472 is 274164597.

795461472 is a `hidden beast` number, since 79 + 54 + 61 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795461473) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13040322 + ... + 13040382.

It is an arithmetic number, because the mean of its divisors is an integer number (7826973).

Almost surely, 2795461472 is an apocalyptic number.

795461472 is a gapful number since it is divisible by the number (72) 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 795461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314931464).

795461472 is an abundant number, since it is smaller than the sum of its proper divisors (1834401456).

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

795461472 is a wasteful number, since it uses less digits than its factorization.

795461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 795461472 is about 28203.9265351475. The cubic root of 795461472 is about 926.5589380715.

It can be divided in two parts, 79546 and 1472, that added together give a palindrome (81018).

The spelling of 795461472 in words is "seven hundred ninety-five million, four hundred sixty-one thousand, four hundred seventy-two".