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516231464 = 2373419449
BaseRepresentation
bin11110110001010…
…001000100101000
31022222101021102212
4132301101010220
52024123401324
6123120344252
715535616000
oct3661210450
91288337385
10516231464
11245443381
12124a75088
1382c49108
144c7bd000
15304c270e
hex1ec51128

516231464 has 64 divisors (see below), whose sum is σ = 1134000000. Its totient is φ = 220222464.

The previous prime is 516231439. The next prime is 516231479. The reversal of 516231464 is 464132615.

It is a self number, because there is not a number n which added to its sum of digits gives 516231464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149512 + ... + 1149960.

It is an arithmetic number, because the mean of its divisors is an integer number (17718750).

Almost surely, 2516231464 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 516231464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567000000).

516231464 is an abundant number, since it is smaller than the sum of its proper divisors (617768536).

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

516231464 is a wasteful number, since it uses less digits than its factorization.

516231464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 877 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 516231464 is about 22720.7276291936. The cubic root of 516231464 is about 802.1978438236.

The spelling of 516231464 in words is "five hundred sixteen million, two hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 419 449 686 838 898 1372 1676 1796 2744 2933 3143 3352 3592 5866 6286 11732 12572 20531 22001 23464 25144 41062 44002 82124 88004 143717 154007 164248 176008 188131 287434 308014 376262 574868 616028 752524 1149736 1232056 1316917 1505048 2633834 5267668 9218419 10535336 18436838 36873676 64528933 73747352 129057866 258115732 516231464