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2928738852 = 22321317368117
BaseRepresentation
bin1010111010010001…
…0000001000100100
321120002221100102100
42232210100020210
521444224120402
61202341012100
7132401604144
oct25644201044
97502840370
102928738852
111273218936
126989b4030
133789c3990
141dad76924
151221b971c
hexae910224

2928738852 has 72 divisors (see below), whose sum is σ = 8441681976. Its totient is φ = 848139264.

The previous prime is 2928738851. The next prime is 2928738877. The reversal of 2928738852 is 2588378292.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 265559616 + 2663179236 = 16296^2 + 51606^2 .

It is a super-2 number, since 2×29287388522 = 17155022526428555808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2928738851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176103 + ... + 192014.

It is an arithmetic number, because the mean of its divisors is an integer number (117245583).

Almost surely, 22928738852 is an apocalyptic number.

It is an amenable number.

2928738852 is an abundant number, since it is smaller than the sum of its proper divisors (5512943124).

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

2928738852 is a wasteful number, since it uses less digits than its factorization.

2928738852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368157 (or 368152 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2928738852 is about 54117.8237921667. The cubic root of 2928738852 is about 1430.7383430163.

The spelling of 2928738852 in words is "two billion, nine hundred twenty-eight million, seven hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 368117 736234 1104351 1472468 2208702 3313053 4417404 4785521 6257989 6626106 9571042 12515978 13252212 14356563 18773967 19142084 25031956 28713126 37547934 43069689 56321901 57426252 75095868 81353857 86139378 112643802 162707714 172278756 225287604 244061571 325415428 488123142 732184713 976246284 1464369426 2928738852