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56348200 = 23521716573
BaseRepresentation
bin1101011011110…
…0111000101000
310221000210012101
43112330320220
5103411120300
65331423144
71252644316
oct326747050
9127023171
1056348200
1129897267
1216a54ab4
13b89ba3c
1476ab0b6
154e30b6a
hex35bce28

56348200 has 48 divisors (see below), whose sum is σ = 138724380. Its totient is φ = 21212160.

The previous prime is 56348197. The next prime is 56348207. The reversal of 56348200 is 284365.

It can be written as a sum of positive squares in 6 ways, for example, as 33709636 + 22638564 = 5806^2 + 4758^2 .

It is not an unprimeable number, because it can be changed into a prime (56348207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4887 + ... + 11686.

Almost surely, 256348200 is an apocalyptic number.

56348200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56348200 is an abundant number, since it is smaller than the sum of its proper divisors (82376180).

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

56348200 is a wasteful number, since it uses less digits than its factorization.

56348200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16606 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 56348200 is about 7506.5438119017. The cubic root of 56348200 is about 383.3775542348.

The spelling of 56348200 in words is "fifty-six million, three hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 16573 33146 66292 82865 132584 165730 281741 331460 414325 563482 662920 828650 1126964 1408705 1657300 2253928 2817410 3314600 5634820 7043525 11269640 14087050 28174100 56348200