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56250840 = 23351273691
BaseRepresentation
bin1101011010010…
…1000111011000
310220211211122110
43112211013120
5103400011330
65325352320
71252060422
oct326450730
9126754573
1056250840
11298300a8
1216a086a0
13b866629
147683812
154e11db0
hex35a51d8

56250840 has 64 divisors (see below), whose sum is σ = 170127360. Its totient is φ = 14878080.

The previous prime is 56250829. The next prime is 56250851. The reversal of 56250840 is 4805265.

56250840 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 (56250829) and next prime (56250851).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56250798 and 56250807.

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 15 ways as a sum of consecutive naturals, for example, 13395 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (2658240).

Almost surely, 256250840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56250840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85063680).

56250840 is an abundant number, since it is smaller than the sum of its proper divisors (113876520).

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

56250840 is a wasteful number, since it uses less digits than its factorization.

56250840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 56250840 is about 7500.0559997909. The cubic root of 56250840 is about 383.1566234463.

The spelling of 56250840 in words is "fifty-six million, two hundred fifty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3691 3810 5080 7382 7620 11073 14764 15240 18455 22146 29528 36910 44292 55365 73820 88584 110730 147640 221460 442920 468757 937514 1406271 1875028 2343785 2812542 3750056 4687570 5625084 7031355 9375140 11250168 14062710 18750280 28125420 56250840