Search a number
-
+
56531376 = 24321189401
BaseRepresentation
bin1101011110100…
…1100110110000
310221101002110200
43113221212300
5103433001001
65335355200
71254336336
oct327514660
9127332420
1056531376
1129a01950
1216b22b00
13b934225
147717b56
154e6a086
hex35e99b0

56531376 has 120 divisors (see below), whose sum is σ = 174966480. Its totient is φ = 16896000.

The previous prime is 56531359. The next prime is 56531429. The reversal of 56531376 is 67313565.

It is a happy number.

56531376 is a `hidden beast` number, since 56 + 531 + 3 + 76 = 666.

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 56531376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140776 + ... + 141176.

It is an arithmetic number, because the mean of its divisors is an integer number (1458054).

Almost surely, 256531376 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 56531376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87483240).

56531376 is an abundant number, since it is smaller than the sum of its proper divisors (118435104).

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

56531376 is a wasteful number, since it uses less digits than its factorization.

56531376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 506 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 56531376 is about 7518.7349999850. The cubic root of 56531376 is about 383.7925311574.

The spelling of 56531376 in words is "fifty-six million, five hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 89 99 132 144 176 178 198 264 267 356 396 401 528 534 712 792 801 802 979 1068 1203 1424 1584 1602 1604 1958 2136 2406 2937 3204 3208 3609 3916 4272 4411 4812 5874 6408 6416 7218 7832 8811 8822 9624 11748 12816 13233 14436 15664 17622 17644 19248 23496 26466 28872 35244 35288 35689 39699 46992 52932 57744 70488 70576 71378 79398 105864 107067 140976 142756 158796 211728 214134 285512 317592 321201 392579 428268 571024 635184 642402 785158 856536 1177737 1284804 1570316 1713072 2355474 2569608 3140632 3533211 4710948 5139216 6281264 7066422 9421896 14132844 18843792 28265688 56531376