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56350476 = 2232713103167
BaseRepresentation
bin1101011011110…
…1011100001100
310221000220022200
43112331130030
5103411203401
65331441500
71252654050
oct326753414
9127026280
1056350476
1129898a46
1216a56290
13b89caa0
1476abc60
154e31686
hex35bd70c

56350476 has 144 divisors (see below), whose sum is σ = 178074624. Its totient is φ = 14629248.

The previous prime is 56350457. The next prime is 56350477. The reversal of 56350476 is 67405365.

56350476 is a `hidden beast` number, since 563 + 50 + 47 + 6 = 666.

It is a super-2 number, since 2×563504762 = 6350752290853152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56350476.

It is not an unprimeable number, because it can be changed into a prime (56350477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337345 + ... + 337511.

Almost surely, 256350476 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 56350476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89037312).

56350476 is an abundant number, since it is smaller than the sum of its proper divisors (121724148).

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

56350476 is a wasteful number, since it uses less digits than its factorization.

56350476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56350476 is about 7506.6954114311. The cubic root of 56350476 is about 383.3827159233.

The spelling of 56350476 in words is "fifty-six million, three hundred fifty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 103 117 126 156 167 182 206 234 252 273 309 334 364 412 468 501 546 618 668 721 819 927 1002 1092 1169 1236 1339 1442 1503 1638 1854 2004 2163 2171 2338 2678 2884 3006 3276 3507 3708 4017 4326 4342 4676 5356 6012 6489 6513 7014 8034 8652 8684 9373 10521 12051 12978 13026 14028 15197 16068 17201 18746 19539 21042 24102 25956 26052 28119 30394 34402 37492 39078 42084 45591 48204 51603 56238 60788 68804 78156 84357 91182 103206 112476 120407 136773 154809 168714 182364 206412 223613 240814 273546 309618 337428 361221 447226 481628 547092 619236 670839 722442 894452 1083663 1341678 1444884 1565291 2012517 2167326 2683356 3130582 4025034 4334652 4695873 6261164 8050068 9391746 14087619 18783492 28175238 56350476