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56249200 = 2452720089
BaseRepresentation
bin1101011010010…
…0101101110000
310220211202101201
43112210231300
5103344433300
65325340544
71252052560
oct326445560
9126752351
1056249200
1129829947
1216a07754
13b865967
147682da0
154e1166a
hex35a4b70

56249200 has 60 divisors (see below), whose sum is σ = 154451920. Its totient is φ = 19284480.

The previous prime is 56249153. The next prime is 56249239. The reversal of 56249200 is 294265.

56249200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 7245 + ... + 12844.

Almost surely, 256249200 is an apocalyptic number.

56249200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56249200 is an abundant number, since it is smaller than the sum of its proper divisors (98202720).

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

56249200 is a wasteful number, since it uses less digits than its factorization.

56249200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114 (or 20103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56249200 is about 7499.9466664770. The cubic root of 56249200 is about 383.1528997510.

The spelling of 56249200 in words is "fifty-six million, two hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 20089 40178 80356 100445 140623 160712 200890 281246 321424 401780 502225 562492 703115 803560 1004450 1124984 1406230 1607120 2008900 2249968 2812460 3515575 4017800 5624920 7031150 8035600 11249840 14062300 28124600 56249200