Search a number
-
+
4572608096 = 257192274733
BaseRepresentation
bin1000100001000110…
…00111011001100000
3102210200011120002102
410100203013121200
533331041424341
62033422505532
7221212345640
oct42043073140
912720146072
104572608096
111a37133161
12a774352a8
1357b449484
1431540a520
151bb681c9b
hex1108c7660

4572608096 has 96 divisors (see below), whose sum is σ = 10879868160. Its totient is φ = 1847978496.

The previous prime is 4572608083. The next prime is 4572608137. The reversal of 4572608096 is 6908062754.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4572608096.

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, 963746 + ... + 968478.

It is an arithmetic number, because the mean of its divisors is an integer number (113331960).

Almost surely, 24572608096 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 4572608096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439934080).

4572608096 is an abundant number, since it is smaller than the sum of its proper divisors (6307260064).

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

4572608096 is a wasteful number, since it uses less digits than its factorization.

4572608096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 4572608096 is about 67621.0625175322. The cubic root of 4572608096 is about 1659.7957962388.

The spelling of 4572608096 in words is "four billion, five hundred seventy-two million, six hundred eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 227 266 304 454 532 608 908 1064 1589 1816 2128 3178 3632 4256 4313 4733 6356 7264 8626 9466 12712 17252 18932 25424 30191 33131 34504 37864 50848 60382 66262 69008 75728 89927 120764 132524 138016 151456 179854 241528 265048 359708 483056 530096 629489 719416 966112 1060192 1074391 1258978 1438832 2148782 2517956 2877664 4297564 5035912 7520737 8595128 10071824 15041474 17190256 20143648 20413429 30082948 34380512 40826858 60165896 81653716 120331792 142894003 163307432 240663584 285788006 326614864 571576012 653229728 1143152024 2286304048 4572608096