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9088952896 = 261727012
BaseRepresentation
bin10000111011011111…
…00110101001000000
3212110102110122110001
420131233212221000
5122103232443041
64101515445344
7441142552642
oct103557465100
925412418401
109088952896
113944527921
121917a56854
13b1b02674a
1462316c892
15382ded131
hex21dbe6a40

9088952896 has 63 divisors (see below), whose sum is σ = 19186603867. Its totient is φ = 4271052800.

The previous prime is 9088952869. The next prime is 9088952897. The reversal of 9088952896 is 6982598809.

The square root of 9088952896 is 95336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3779790400 + 5309162496 = 61480^2 + 72864^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9088952897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12965346 + ... + 12966046.

Almost surely, 29088952896 is an apocalyptic number.

9088952896 is the 95336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9088952896

9088952896 is an abundant number, since it is smaller than the sum of its proper divisors (10097650971).

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

9088952896 is an frugal number, since it uses more digits than its factorization.

9088952896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 64.

The cubic root of 9088952896 is about 2086.9143125372.

Multiplying 9088952896 by its sum of digits (64), we get a square (581692985344 = 7626882).

9088952896 divided by its sum of digits (64) gives a square (142014889 = 119172).

The spelling of 9088952896 in words is "nine billion, eighty-eight million, nine hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 701 1088 1156 1402 2312 2804 4624 5608 9248 11216 11917 18496 22432 23834 44864 47668 95336 190672 202589 381344 405178 491401 762688 810356 982802 1620712 1965604 3241424 3931208 6482848 7862416 8353817 12965696 15724832 16707634 31449664 33415268 66830536 133661072 142014889 267322144 284029778 534644288 568059556 1136119112 2272238224 4544476448 9088952896