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56350260 = 22325378461
BaseRepresentation
bin1101011011110…
…1011000110100
310221000220000200
43112331120310
5103411202020
65331440500
71252653321
oct326753064
9127026020
1056350260
112989886a
1216a56130
13b89c965
1476abb48
154e31590
hex35bd634

56350260 has 72 divisors (see below), whose sum is σ = 175569576. Its totient is φ = 14618880.

The previous prime is 56350249. The next prime is 56350267. The reversal of 56350260 is 6205365.

56350260 is a `hidden beast` number, since 5 + 635 + 0 + 26 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25280784 + 31069476 = 5028^2 + 5574^2 .

It is a super-3 number, since 3×563502603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56350267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2430 + ... + 10890.

Almost surely, 256350260 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 56350260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87784788).

56350260 is an abundant number, since it is smaller than the sum of its proper divisors (119219316).

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

56350260 is a wasteful number, since it uses less digits than its factorization.

56350260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8513 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 56350260 is about 7506.6810242610. The cubic root of 56350260 is about 383.3822260678.

The spelling of 56350260 in words is "fifty-six million, three hundred fifty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 8461 16922 25383 33844 42305 50766 76149 84610 101532 126915 152298 169220 253830 304596 313057 380745 507660 626114 761490 939171 1252228 1522980 1565285 1878342 2817513 3130570 3756684 4695855 5635026 6261140 9391710 11270052 14087565 18783420 28175130 56350260