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56206926400 = 265259272
BaseRepresentation
bin110100010110001100…
…011010001001000000
312101002011020200221211
4310112030122021000
51410102433121100
641453205255504
74026600664042
oct642614321100
9171064220854
1056206926400
1121923387799
12aa87704594
1353b9979641
142a12c05a92
1516de7541ba
hexd1631a240

56206926400 has 63 divisors (see below), whose sum is σ = 138327506809. Its totient is φ = 22478977280.

The previous prime is 56206926341. The next prime is 56206926427. The reversal of 56206926400 is 462960265.

The square root of 56206926400 is 237080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20234493504 + 35972432896 = 142248^2 + 189664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 9480237 + ... + 9486163.

Almost surely, 256206926400 is an apocalyptic number.

56206926400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56206926400 is the 237080-th square number.

It is an amenable number.

56206926400 is an abundant number, since it is smaller than the sum of its proper divisors (82120580409).

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

56206926400 is an frugal number, since it uses more digits than its factorization.

56206926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 56206926400 in words is "fifty-six billion, two hundred six million, nine hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 5927 11854 23708 29635 47416 59270 94832 118540 148175 189664 237080 296350 379328 474160 592700 948320 1185400 1896640 2370800 4741600 9483200 35129329 70258658 140517316 175646645 281034632 351293290 562069264 702586580 878233225 1124138528 1405173160 1756466450 2248277056 2810346320 3512932900 5620692640 7025865800 11241385280 14051731600 28103463200 56206926400