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5256694400 = 27521642717
BaseRepresentation
bin1001110010101001…
…01100101010000000
3111120100101202002012
410321110230222000
541231203210100
62225341112052
7244160110436
oct47124545200
914510352065
105256694400
1122582a3341
121028558628
1365a0a6379
1437c200d56
1520b75e135
hex13952ca80

5256694400 has 48 divisors (see below), whose sum is σ = 12985685790. Its totient is φ = 2102676480.

The previous prime is 5256694393. The next prime is 5256694411. The reversal of 5256694400 is 44966525.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4185572416 + 1071121984 = 64696^2 + 32728^2 .

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 5 ways as a sum of consecutive naturals, for example, 818159 + ... + 824558.

Almost surely, 25256694400 is an apocalyptic number.

5256694400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5256694400 is an abundant number, since it is smaller than the sum of its proper divisors (7728991390).

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

5256694400 is a wasteful number, since it uses less digits than its factorization.

5256694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642741 (or 1642724 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 5256694400 is about 72503.0647628085. The cubic root of 5256694400 is about 1738.7517360654.

The spelling of 5256694400 in words is "five billion, two hundred fifty-six million, six hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 1642717 3285434 6570868 8213585 13141736 16427170 26283472 32854340 41067925 52566944 65708680 82135850 105133888 131417360 164271700 210267776 262834720 328543400 525669440 657086800 1051338880 1314173600 2628347200 5256694400