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518716416 = 2103198887
BaseRepresentation
bin11110111010101…
…111110000000000
31100011001112011010
4132322233300000
52030242411131
6123245520520
715566005521
oct3672576000
91304045133
10518716416
11246890359
12125873140
13836091ba
144cc68848
1530813b46
hex1eeafc00

518716416 has 88 divisors (see below), whose sum is σ = 1455498880. Its totient is φ = 163786752.

The previous prime is 518716399. The next prime is 518716421. The reversal of 518716416 is 614617815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53925 + ... + 62811.

It is an arithmetic number, because the mean of its divisors is an integer number (16539760).

Almost surely, 2518716416 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 518716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727749440).

518716416 is an abundant number, since it is smaller than the sum of its proper divisors (936782464).

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

518716416 is a wasteful number, since it uses less digits than its factorization.

518716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8911 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 518716416 is about 22775.3466713462. The cubic root of 518716416 is about 803.4829476718.

The spelling of 518716416 in words is "five hundred eighteen million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 8887 9728 14592 17774 19456 26661 29184 35548 53322 58368 71096 106644 142192 168853 213288 284384 337706 426576 506559 568768 675412 853152 1013118 1137536 1350824 1706304 2026236 2275072 2701648 3412608 4052472 4550144 5403296 6825216 8104944 9100288 10806592 13650432 16209888 21613184 27300864 32419776 43226368 64839552 86452736 129679104 172905472 259358208 518716416