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56212992 = 2932111109
BaseRepresentation
bin1101011001101…
…1111000000000
310220202220201200
43112123320000
5103342303432
65324501200
71251542163
oct326337000
9126686650
1056212992
1129804720
12169aa800
13b852334
147673ada
154e05a7c
hex359be00

56212992 has 120 divisors (see below), whose sum is σ = 177142680. Its totient is φ = 17018880.

The previous prime is 56212979. The next prime is 56213021. The reversal of 56212992 is 29921265.

It is a happy number.

56212992 is a `hidden beast` number, since 5 + 621 + 29 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50134 + ... + 51242.

It is an arithmetic number, because the mean of its divisors is an integer number (1476189).

Almost surely, 256212992 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 56212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88571340).

56212992 is an abundant number, since it is smaller than the sum of its proper divisors (120929688).

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

56212992 is a wasteful number, since it uses less digits than its factorization.

56212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 56212992 is about 7497.5323940614. The cubic root of 56212992 is about 383.0706693784.

The spelling of 56212992 in words is "fifty-six million, two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1109 1152 1408 1536 1584 2112 2218 2304 2816 3168 3327 4224 4436 4608 5632 6336 6654 8448 8872 9981 12199 12672 13308 16896 17744 19962 24398 25344 26616 35488 36597 39924 48796 50688 53232 70976 73194 79848 97592 106464 109791 141952 146388 159696 195184 212928 219582 283904 292776 319392 390368 425856 439164 567808 585552 638784 780736 851712 878328 1171104 1277568 1561472 1703424 1756656 2342208 2555136 3122944 3513312 4684416 5110272 6245888 7026624 9368832 14053248 18737664 28106496 56212992