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56053008 = 24321123217
BaseRepresentation
bin1101010111010…
…0110100010000
310220110210021100
43111310310100
5103322144013
65321224400
71250304564
oct325646420
9126423240
1056053008
1129705500
1216932100
13b7c757b
1476316a4
154dc3473
hex3574d10

56053008 has 90 divisors (see below), whose sum is σ = 172481582. Its totient is φ = 16980480.

The previous prime is 56053007. The next prime is 56053031. The reversal of 56053008 is 80035065.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 1411344 = 7392^2 + 1188^2 .

It is not an unprimeable number, because it can be changed into a prime (56053003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15816 + ... + 19032.

Almost surely, 256053008 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 56053008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86240791).

56053008 is an abundant number, since it is smaller than the sum of its proper divisors (116428574).

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

56053008 is a wasteful number, since it uses less digits than its factorization.

56053008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56053008 is about 7486.8556817933. The cubic root of 56053008 is about 382.7069135528.

The spelling of 56053008 in words is "fifty-six million, fifty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 3217 4356 5808 6434 8712 9651 12868 17424 19302 25736 28953 35387 38604 51472 57906 70774 77208 106161 115812 141548 154416 212322 231624 283096 318483 389257 424644 463248 566192 636966 778514 849288 1167771 1273932 1557028 1698576 2335542 2547864 3114056 3503313 4671084 5095728 6228112 7006626 9342168 14013252 18684336 28026504 56053008