Search a number
-
+
56247200 = 255270309
BaseRepresentation
bin1101011010010…
…0001110100000
310220211122122122
43112210032200
5103344402300
65325323412
71252044002
oct326441640
9126748578
1056247200
1129828399
1216a06568
13b864a89
147682372
154e10c85
hex35a43a0

56247200 has 36 divisors (see below), whose sum is σ = 137315430. Its totient is φ = 22498560.

The previous prime is 56247197. The next prime is 56247221. The reversal of 56247200 is 274265.

It can be written as a sum of positive squares in 3 ways, for example, as 31764496 + 24482704 = 5636^2 + 4948^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56247200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34355 + ... + 35954.

Almost surely, 256247200 is an apocalyptic number.

56247200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56247200 is an abundant number, since it is smaller than the sum of its proper divisors (81068230).

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

56247200 is a wasteful number, since it uses less digits than its factorization.

56247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70329 (or 70316 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 56247200 is about 7499.8133310103. The cubic root of 56247200 is about 383.1483585612.

The spelling of 56247200 in words is "fifty-six million, two hundred forty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 70309 140618 281236 351545 562472 703090 1124944 1406180 1757725 2249888 2812360 3515450 5624720 7030900 11249440 14061800 28123600 56247200