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968315850 = 23352717271
BaseRepresentation
bin111001101101110…
…101001111001010
32111111001112122000
4321231311033022
53440342101400
6240030211430
732665356165
oct7155651712
92444045560
10968315850
11457653037
12230353b76
131257c5778
1492860adc
155a023600
hex39b753ca

968315850 has 48 divisors (see below), whose sum is σ = 2668251840. Its totient is φ = 258217200.

The previous prime is 968315849. The next prime is 968315851. The reversal of 968315850 is 58513869.

968315850 is a `hidden beast` number, since 9 + 68 + 3 + 1 + 585 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (968315849) and next prime (968315851).

It is a super-2 number, since 2×9683158502 = 1875271170722445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 968315796 and 968315805.

It is not an unprimeable number, because it can be changed into a prime (968315851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357286 + ... + 359985.

It is an arithmetic number, because the mean of its divisors is an integer number (55588580).

Almost surely, 2968315850 is an apocalyptic number.

968315850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

968315850 is an abundant number, since it is smaller than the sum of its proper divisors (1699935990).

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

968315850 is a wasteful number, since it uses less digits than its factorization.

968315850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717292 (or 717281 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 968315850 is about 31117.7738599663. The cubic root of 968315850 is about 989.3250679773.

The spelling of 968315850 in words is "nine hundred sixty-eight million, three hundred fifteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 717271 1434542 2151813 3586355 4303626 6455439 7172710 10759065 12910878 17931775 19366317 21518130 32277195 35863550 38732634 53795325 64554390 96831585 107590650 161385975 193663170 322771950 484157925 968315850