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56850444 = 22337139541
BaseRepresentation
bin1101100011011…
…1100000001100
310221222022011000
43120313200030
5104023203234
65350300300
71260135510
oct330674014
9127868130
1056850444
112a0aa642
1217057690
13ba16521
14779c140
154ece899
hex363780c

56850444 has 96 divisors (see below), whose sum is σ = 169971200. Its totient is φ = 16096320.

The previous prime is 56850433. The next prime is 56850467. The reversal of 56850444 is 44405865.

56850444 is a `hidden beast` number, since 568 + 50 + 4 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56850399 and 56850408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104814 + ... + 105354.

Almost surely, 256850444 is an apocalyptic number.

56850444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56850444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84985600).

56850444 is an abundant number, since it is smaller than the sum of its proper divisors (113120756).

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

56850444 is a wasteful number, since it uses less digits than its factorization.

56850444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 56850444 is about 7539.9233417854. The cubic root of 56850444 is about 384.5132297601.

The spelling of 56850444 in words is "fifty-six million, eight hundred fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 417 541 556 756 834 973 1082 1251 1623 1668 1946 2164 2502 2919 3246 3753 3787 3892 4869 5004 5838 6492 7506 7574 8757 9738 11361 11676 14607 15012 15148 17514 19476 22722 26271 29214 34083 35028 45444 52542 58428 68166 75199 102249 105084 136332 150398 204498 225597 300796 408996 451194 526393 676791 902388 1052786 1353582 1579179 2030373 2105572 2707164 3158358 4060746 4737537 6316716 8121492 9475074 14212611 18950148 28425222 56850444