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56531250 = 2335667
BaseRepresentation
bin1101011110100…
…1100100110010
310221101002022000
43113221210302
5103433000000
65335354430
71254336066
oct327514462
9127332260
1056531250
1129a01846
1216b22a16
13b934159
147717aa6
154e6a000
hex35e9932

56531250 has 112 divisors (see below), whose sum is σ = 159372960. Its totient is φ = 14850000.

The previous prime is 56531249. The next prime is 56531257. The reversal of 56531250 is 5213565.

56531250 is a `hidden beast` number, since 5 + 653 + 1 + 2 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56531257) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 843717 + ... + 843783.

Almost surely, 256531250 is an apocalyptic number.

56531250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56531250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79686480).

56531250 is an abundant number, since it is smaller than the sum of its proper divisors (102841710).

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

56531250 is an frugal number, since it uses more digits than its factorization.

56531250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56531250 is about 7518.7266209113. The cubic root of 56531250 is about 383.7922460184.

It can be divided in two parts, 5653 and 1250, that added together give a triangular number (6903 = T117).

The spelling of 56531250 in words is "fifty-six million, five hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 67 75 90 125 134 135 150 201 225 250 270 335 375 402 450 603 625 670 675 750 1005 1125 1206 1250 1350 1675 1809 1875 2010 2250 3015 3125 3350 3375 3618 3750 5025 5625 6030 6250 6750 8375 9045 9375 10050 11250 15075 15625 16750 16875 18090 18750 25125 28125 30150 31250 33750 41875 45225 46875 50250 56250 75375 83750 84375 90450 93750 125625 140625 150750 168750 209375 226125 251250 281250 376875 418750 421875 452250 628125 753750 843750 1046875 1130625 1256250 1884375 2093750 2261250 3140625 3768750 5653125 6281250 9421875 11306250 18843750 28265625 56531250