Search a number
-
+
515860056 = 233322910429
BaseRepresentation
bin11110101111110…
…110011001011000
31022221200101222000
4132233312121120
52024030010211
6123104401000
715532511115
oct3657663130
91287611860
10515860056
1124520a328
12124916160
1382b4904a
144c72390c
153044c656
hex1ebf6658

515860056 has 64 divisors (see below), whose sum is σ = 1439340000. Its totient is φ = 171186048.

The previous prime is 515860027. The next prime is 515860061. The reversal of 515860056 is 650068515.

It is a super-2 number, since 2×5158600562 = 532223194752646272, which contains 22 as substring.

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 515860056.

It is a congruent number.

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, 44250 + ... + 54678.

Almost surely, 2515860056 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 515860056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719670000).

515860056 is an abundant number, since it is smaller than the sum of its proper divisors (923479944).

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

515860056 is a wasteful number, since it uses less digits than its factorization.

515860056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 515860056 is about 22712.5528287773. The cubic root of 515860056 is about 802.0054145235.

The spelling of 515860056 in words is "five hundred fifteen million, eight hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 2061 2748 4122 5496 6183 8244 10429 12366 16488 20858 24732 31287 41716 49464 62574 83432 93861 125148 187722 250296 281583 375444 563166 750888 1126332 2252664 2388241 4776482 7164723 9552964 14329446 19105928 21494169 28658892 42988338 57317784 64482507 85976676 128965014 171953352 257930028 515860056