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56255400 = 23325231253
BaseRepresentation
bin1101011010011…
…0001110101000
310220212001220100
43112212032220
5103400133100
65325425400
71252106625
oct326461650
9126761810
1056255400
1129833573
1216a0b260
13b868726
14768534c
154e13400
hex35a63a8

56255400 has 72 divisors (see below), whose sum is σ = 188930430. Its totient is φ = 15000960.

The previous prime is 56255383. The next prime is 56255417. The reversal of 56255400 is 455265.

56255400 is a `hidden beast` number, since 5 + 6 + 255 + 400 = 666.

56255400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56255383) and next prime (56255417).

It can be written as a sum of positive squares in 3 ways, for example, as 44435556 + 11819844 = 6666^2 + 3438^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 13827 + ... + 17426.

Almost surely, 256255400 is an apocalyptic number.

56255400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56255400 is an abundant number, since it is smaller than the sum of its proper divisors (132675030).

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

56255400 is a wasteful number, since it uses less digits than its factorization.

56255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31275 (or 31263 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 56255400 is about 7500.3599913604. The cubic root of 56255400 is about 383.1669767554.

It can be divided in two parts, 5625 and 5400, that added together give a square (11025 = 1052).

The spelling of 56255400 in words is "fifty-six million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 31253 62506 93759 125012 156265 187518 250024 281277 312530 375036 468795 562554 625060 750072 781325 937590 1125108 1250120 1406385 1562650 1875180 2250216 2343975 2812770 3125300 3750360 4687950 5625540 6250600 7031925 9375900 11251080 14063850 18751800 28127700 56255400