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842864904 = 233277921169
BaseRepresentation
bin110010001111010…
…001100100001000
32011201222222021200
4302033101210020
53211233134104
6215345304200
726613143040
oct6217214410
92151888250
10842864904
113a2858972
121b6335060
1310581073b
147dd26720
154dee2b39
hex323d1908

842864904 has 96 divisors (see below), whose sum is σ = 2642016000. Its totient is φ = 237758976.

The previous prime is 842864899. The next prime is 842864929. The reversal of 842864904 is 409468248.

842864904 is a `hidden beast` number, since 84 + 2 + 86 + 490 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 842864904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29232 + ... + 50400.

It is an arithmetic number, because the mean of its divisors is an integer number (27521000).

Almost surely, 2842864904 is an apocalyptic number.

842864904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842864904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321008000).

842864904 is an abundant number, since it is smaller than the sum of its proper divisors (1799151096).

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

842864904 is a wasteful number, since it uses less digits than its factorization.

842864904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21267 (or 21260 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 842864904 is about 29032.1357120002. The cubic root of 842864904 is about 944.6102566830.

The spelling of 842864904 in words is "eight hundred forty-two million, eight hundred sixty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4977 5688 6636 9954 13272 19908 21169 39816 42338 63507 84676 127014 148183 169352 190521 254028 296366 381042 444549 508056 592732 762084 889098 1185464 1333647 1524168 1672351 1778196 2667294 3344702 3556392 5017053 5334588 6689404 10034106 10669176 11706457 13378808 15051159 20068212 23412914 30102318 35119371 40136424 46825828 60204636 70238742 93651656 105358113 120409272 140477484 210716226 280954968 421432452 842864904