Search a number
-
+
815057352 = 233256320107
BaseRepresentation
bin110000100101001…
…100100111001000
32002210200012111100
4300211030213020
53132123313402
6212513301400
726124605334
oct6045144710
92083605440
10815057352
1138909571a
121a8b64860
13ccb25675
147a3687c4
154b84d71c
hex3094c9c8

815057352 has 48 divisors (see below), whose sum is σ = 2211477840. Its totient is φ = 271189728.

The previous prime is 815057339. The next prime is 815057377. The reversal of 815057352 is 253750518.

815057352 is a `hidden beast` number, since 81 + 5 + 0 + 573 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30483 + ... + 50589.

It is an arithmetic number, because the mean of its divisors is an integer number (46072455).

Almost surely, 2815057352 is an apocalyptic number.

It is an amenable number.

815057352 is an abundant number, since it is smaller than the sum of its proper divisors (1396420488).

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

815057352 is a wasteful number, since it uses less digits than its factorization.

815057352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20682 (or 20675 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 815057352 is about 28549.2093060386. The cubic root of 815057352 is about 934.1057735794.

It can be divided in two parts, 815057 and 352, that added together give a square (815409 = 9032).

The spelling of 815057352 in words is "eight hundred fifteen million, fifty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 563 1126 1689 2252 3378 4504 5067 6756 10134 13512 20107 20268 40214 40536 60321 80428 120642 160856 180963 241284 361926 482568 723852 1447704 11320241 22640482 33960723 45280964 67921446 90561928 101882169 135842892 203764338 271685784 407528676 815057352