Search a number
-
+
5042600352 = 253337157739
BaseRepresentation
bin1001011001000111…
…11111100110100000
3111000102112122021000
410230203333212200
540311401202402
62152212232000
7235650252516
oct45443774640
914012478230
105042600352
112158464309
12b8890b600
13624925bba
1435b9d04b6
151e7a6dc1c
hex12c8ff9a0

5042600352 has 96 divisors (see below), whose sum is σ = 15105182400. Its totient is φ = 1635427584.

The previous prime is 5042600351. The next prime is 5042600363. The reversal of 5042600352 is 2530062405.

5042600352 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 600 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5042600351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46902 + ... + 110837.

It is an arithmetic number, because the mean of its divisors is an integer number (157345650).

Almost surely, 25042600352 is an apocalyptic number.

It is an amenable number.

5042600352 is an abundant number, since it is smaller than the sum of its proper divisors (10062582048).

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

5042600352 is a wasteful number, since it uses less digits than its factorization.

5042600352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157795 (or 157781 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5042600352 is about 71011.2691901785. The cubic root of 5042600352 is about 1714.8185911979.

Adding to 5042600352 its reverse (2530062405), we get a palindrome (7572662757).

The spelling of 5042600352 in words is "five billion, forty-two million, six hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 157739 315478 473217 630956 946434 1261912 1419651 1892868 2523824 2839302 3785736 4258953 5047648 5678604 5836343 7571472 8517906 11357208 11672686 15142944 17035812 17509029 22714416 23345372 34071624 35018058 45428832 46690744 52527087 68143248 70036116 93381488 105054174 136286496 140072232 157581261 186762976 210108348 280144464 315162522 420216696 560288928 630325044 840433392 1260650088 1680866784 2521300176 5042600352