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56887920 = 243458779
BaseRepresentation
bin1101100100000…
…0101001110000
310222001012120000
43121000221300
5104030403140
65351150000
71260352665
oct331005160
9128035500
1056887920
112a125811
1217075300
13ba2a5bb
1477aba6c
154edaa30
hex3640a70

56887920 has 100 divisors (see below), whose sum is σ = 197602680. Its totient is φ = 15168384.

The previous prime is 56887913. The next prime is 56887939. The reversal of 56887920 is 2978865.

56887920 is a `hidden beast` number, since 568 + 87 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2091 + ... + 10869.

Almost surely, 256887920 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 56887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98801340).

56887920 is an abundant number, since it is smaller than the sum of its proper divisors (140714760).

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

56887920 is a wasteful number, since it uses less digits than its factorization.

56887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 56887920 is about 7542.4081035171. The cubic root of 56887920 is about 384.5977019973.

It can be divided in two parts, 568 and 87920, that added together give a palindrome (88488).

The spelling of 56887920 in words is "fifty-six million, eight hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8779 17558 26337 35116 43895 52674 70232 79011 87790 105348 131685 140464 158022 175580 210696 237033 263370 316044 351160 395055 421392 474066 526740 632088 702320 711099 790110 948132 1053480 1185165 1264176 1422198 1580220 1896264 2106960 2370330 2844396 3160440 3555495 3792528 4740660 5688792 6320880 7110990 9481320 11377584 14221980 18962640 28443960 56887920