Search a number
-
+
4904928864 = 253311516091
BaseRepresentation
bin1001001000101101…
…10100011001100000
3110122211111012111000
410210112310121200
540021130210424
62130413352000
7232356131103
oct44426643140
913584435430
104904928864
112097782720
12b4a798600
13602252694
143475d473a
151da9273c9
hex1245b4660

4904928864 has 96 divisors (see below), whose sum is σ = 15606622080. Its totient is φ = 1486339200.

The previous prime is 4904928839. The next prime is 4904928877. The reversal of 4904928864 is 4688294094.

4904928864 is a `hidden beast` number, since 4 + 90 + 492 + 8 + 8 + 64 = 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4904928864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248542 + ... + 267549.

It is an arithmetic number, because the mean of its divisors is an integer number (162568980).

Almost surely, 24904928864 is an apocalyptic number.

4904928864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4904928864 is an abundant number, since it is smaller than the sum of its proper divisors (10701693216).

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

4904928864 is a wasteful number, since it uses less digits than its factorization.

4904928864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516121 (or 516107 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4904928864 is about 70035.1973224892. The cubic root of 4904928864 is about 1699.0685628806.

The spelling of 4904928864 in words is "four billion, nine hundred four million, nine hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 516091 1032182 1548273 2064364 3096546 4128728 4644819 5677001 6193092 8257456 9289638 11354002 12386184 13934457 16514912 17031003 18579276 22708004 24772368 27868914 34062006 37158552 45416008 49544736 51093009 55737828 68124012 74317104 90832016 102186018 111475656 136248024 148634208 153279027 181664032 204372036 222951312 272496048 306558054 408744072 445902624 544992096 613116108 817488144 1226232216 1634976288 2452464432 4904928864