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8457225408 = 263217384871
BaseRepresentation
bin1111110000001011…
…10000010011000000
3210211101202120020200
413320011300103000
5114310022203113
63515111405200
7416402141562
oct77005602300
923741676220
108457225408
11364a979695
121780383800
13a4a19c7b8
145a32c7332
15347714873
hex1f81704c0

8457225408 has 84 divisors (see below), whose sum is σ = 24381518928. Its totient is φ = 2802746880.

The previous prime is 8457225401. The next prime is 8457225443. The reversal of 8457225408 is 8045227548.

8457225408 is a `hidden beast` number, since 84 + 5 + 7 + 22 + 540 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8457225401) by changing a digit.

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, 57213 + ... + 142083.

Almost surely, 28457225408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8457225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190759464).

8457225408 is an abundant number, since it is smaller than the sum of its proper divisors (15924293520).

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

8457225408 is a wasteful number, since it uses less digits than its factorization.

8457225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85062 (or 85049 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 8457225408 is about 91963.1741948917. The cubic root of 8457225408 is about 2037.3984368711.

The spelling of 8457225408 in words is "eight billion, four hundred fifty-seven million, two hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 11072 12456 16608 24912 33216 49824 84871 99648 169742 254613 339484 509226 678968 763839 1018452 1357936 1527678 2036904 2715872 3055356 4073808 5431744 6110712 8147616 12221424 14682683 16295232 24442848 29365366 44048049 48885696 58730732 88096098 117461464 132144147 176192196 234922928 264288294 352384392 469845856 528576588 704768784 939691712 1057153176 1409537568 2114306352 2819075136 4228612704 8457225408