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56211840 = 273353253
BaseRepresentation
bin1101011001101…
…1100110000000
310220202212011000
43112123212000
5103342234330
65324452000
71251535626
oct326334600
9126685130
1056211840
1129803873
12169aa000
13b851959
147673516
154e05560
hex359b980

56211840 has 128 divisors (see below), whose sum is σ = 199144800. Its totient is φ = 14985216.

The previous prime is 56211821. The next prime is 56211863. The reversal of 56211840 is 4811265.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15654 + ... + 18906.

Almost surely, 256211840 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 56211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99572400).

56211840 is an abundant number, since it is smaller than the sum of its proper divisors (142932960).

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

56211840 is a wasteful number, since it uses less digits than its factorization.

56211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56211840 is about 7497.4555683912. The cubic root of 56211840 is about 383.0680525431.

The spelling of 56211840 in words is "fifty-six million, two hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3253 3456 4320 5760 6506 8640 9759 13012 16265 17280 19518 26024 29277 32530 39036 48795 52048 58554 65060 78072 87831 97590 104096 117108 130120 146385 156144 175662 195180 208192 234216 260240 292770 312288 351324 390360 416384 439155 468432 520480 585540 624576 702648 780720 878310 936864 1040960 1171080 1249152 1405296 1561440 1756620 1873728 2081920 2342160 2810592 3122880 3513240 3747456 4684320 5621184 6245760 7026480 9368640 11242368 14052960 18737280 28105920 56211840