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8930291440 = 245727495801
BaseRepresentation
bin10000101000100100…
…10110111011110000
3212001100220210211211
420110102112323300
5121242123311230
64034051045504
7434205140050
oct102422267360
925040823754
108930291440
113872a0a154
1218928a0894
13ac41b4325
1460a06b560
1537400c42a
hex214496ef0

8930291440 has 80 divisors (see below), whose sum is σ = 23741784000. Its totient is φ = 3060172800.

The previous prime is 8930291431. The next prime is 8930291497. The reversal of 8930291440 is 441920398.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8930291393 and 8930291402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536540 + ... + 1542340.

It is an arithmetic number, because the mean of its divisors is an integer number (296772300).

Almost surely, 28930291440 is an apocalyptic number.

8930291440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8930291440 is an abundant number, since it is smaller than the sum of its proper divisors (14811492560).

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

8930291440 is a wasteful number, since it uses less digits than its factorization.

8930291440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 8930291440 is about 94500.2192590049. The cubic root of 8930291440 is about 2074.6995405669.

The spelling of 8930291440 in words is "eight billion, nine hundred thirty million, two hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2749 5498 5801 10996 11602 13745 19243 21992 23204 27490 29005 38486 40607 43984 46408 54980 58010 76972 81214 92816 96215 109960 116020 153944 162428 192430 203035 219920 232040 307888 324856 384860 406070 464080 649712 769720 812140 1539440 1624280 3248560 15946949 31893898 63787796 79734745 111628643 127575592 159469490 223257286 255151184 318938980 446514572 558143215 637877960 893029144 1116286430 1275755920 1786058288 2232572860 4465145720 8930291440