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5831564040 = 23325157103177
BaseRepresentation
bin1010110111001011…
…01001101100001000
3120001102010010222100
411123211221230020
543420340022130
62402354353400
7264340322301
oct53345515410
916042103870
105831564040
112522847415
121168b8b860
1371c213613
143d46c57a8
15241e65c60
hex15b969b08

5831564040 has 96 divisors (see below), whose sum is σ = 19073485080. Its totient is φ = 1545163776.

The previous prime is 5831563987. The next prime is 5831564069. The reversal of 5831564040 is 404651385.

It is a happy number.

5831564040 is a `hidden beast` number, since 5 + 8 + 3 + 1 + 5 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3891513924 + 1940050116 = 62382^2 + 44046^2 .

It is a super-2 number, since 2×58315640402 = 68014278305242243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5831563986 and 5831564004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4932 + ... + 108108.

Almost surely, 25831564040 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 5831564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536742540).

5831564040 is an abundant number, since it is smaller than the sum of its proper divisors (13241921040).

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

5831564040 is a wasteful number, since it uses less digits than its factorization.

5831564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103351 (or 103344 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5831564040 is about 76364.6779604288. The cubic root of 5831564040 is about 1799.9551470305.

The spelling of 5831564040 in words is "five billion, eight hundred thirty-one million, five hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 103177 206354 309531 412708 515885 619062 825416 928593 1031770 1238124 1547655 1857186 2063540 2476248 3095310 3714372 4127080 4642965 6190620 7428744 9285930 12381240 16198789 18571860 32397578 37143720 48596367 64795156 80993945 97192734 129590312 145789101 161987890 194385468 242981835 291578202 323975780 388770936 485963670 583156404 647951560 728945505 971927340 1166312808 1457891010 1943854680 2915782020 5831564040