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492927512 = 2371117103457
BaseRepresentation
bin11101011000010…
…111101000011000
31021100112022102112
4131120113220120
52002142140022
6120525051452
715133546310
oct3530275030
91240468375
10492927512
11233276810
121190b6b88
137b179bac
1449674440
152d41c8e2
hex1d617a18

492927512 has 128 divisors (see below), whose sum is σ = 1234621440. Its totient is φ = 178606080.

The previous prime is 492927481. The next prime is 492927551. The reversal of 492927512 is 215729294.

It is a self number, because there is not a number n which added to its sum of digits gives 492927512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078388 + ... + 1078844.

It is an arithmetic number, because the mean of its divisors is an integer number (9645480).

Almost surely, 2492927512 is an apocalyptic number.

492927512 is the 18128-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492927512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617310720).

492927512 is an abundant number, since it is smaller than the sum of its proper divisors (741693928).

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

492927512 is a wasteful number, since it uses less digits than its factorization.

492927512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 492927512 is about 22201.9709035031. The cubic root of 492927512 is about 789.9404494982.

The spelling of 492927512 in words is "four hundred ninety-two million, nine hundred twenty-seven thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 103 119 136 154 187 206 238 308 374 412 457 476 616 721 748 824 914 952 1133 1309 1442 1496 1751 1828 2266 2618 2884 3199 3502 3656 4532 5027 5236 5768 6398 7004 7769 7931 9064 10054 10472 12257 12796 14008 15538 15862 19261 20108 24514 25592 31076 31724 35189 38522 40216 47071 49028 54383 62152 63448 70378 77044 85459 94142 98056 108766 134827 140756 154088 170918 188284 217532 269654 281512 329497 341836 376568 435064 517781 539308 598213 658994 683672 800207 1035562 1078616 1196426 1317988 1600414 2071124 2392852 2635976 3200828 3624467 4142248 4785704 5601449 6401656 7248934 8802277 11202898 14497868 17604554 22405796 28995736 35209108 44811592 61615939 70418216 123231878 246463756 492927512