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4292870688 = 253285717393
BaseRepresentation
bin1111111111100000…
…0000001000100000
3102002011210102111200
43333320000020200
532242433330223
61545551041200
7211244540661
oct37770001040
912064712450
104292870688
111903239317
129b9810200
135354c4492
142ca1cd368
151a1d26a43
hexffe00220

4292870688 has 72 divisors (see below), whose sum is σ = 12222798588. Its totient is φ = 1429204992.

The previous prime is 4292870623. The next prime is 4292870693. The reversal of 4292870688 is 8860782924.

It can be written as a sum of positive squares in 2 ways, for example, as 4244261904 + 48608784 = 65148^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 238120 + ... + 255512.

Almost surely, 24292870688 is an apocalyptic number.

4292870688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4292870688 is an abundant number, since it is smaller than the sum of its proper divisors (7929927900).

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

4292870688 is a wasteful number, since it uses less digits than its factorization.

4292870688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18266 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4292870688 is about 65520.0021978022. The cubic root of 4292870688 is about 1625.2341359516.

The spelling of 4292870688 in words is "four billion, two hundred ninety-two million, eight hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 857 1714 2571 3428 5142 6856 7713 10284 13712 15426 17393 20568 27424 30852 34786 41136 52179 61704 69572 82272 104358 123408 139144 156537 208716 246816 278288 313074 417432 556576 626148 834864 1252296 1669728 2504592 5009184 14905801 29811602 44717403 59623204 89434806 119246408 134152209 178869612 238492816 268304418 357739224 476985632 536608836 715478448 1073217672 1430956896 2146435344 4292870688