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968225832 = 233373971613
BaseRepresentation
bin111001101101011…
…111010000101000
32111110212222011000
4321231133100220
53440331211312
6240024235000
732664532560
oct7155372050
92443788130
10968225832
114575a1442
1223030ba60
131257937c2
1492839da0
155a006adc
hex39b5f428

968225832 has 128 divisors (see below), whose sum is σ = 3083385600. Its totient is φ = 275768064.

The previous prime is 968225831. The next prime is 968225851. The reversal of 968225832 is 238522869.

It is a happy number.

968225832 is a `hidden beast` number, since 9 + 68 + 2 + 2 + 583 + 2 = 666.

It is a super-2 number, since 2×9682258322 = 1874922523504184448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (968225831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599458 + ... + 601070.

It is an arithmetic number, because the mean of its divisors is an integer number (24088950).

Almost surely, 2968225832 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 968225832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541692800).

968225832 is an abundant number, since it is smaller than the sum of its proper divisors (2115159768).

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

968225832 is a wasteful number, since it uses less digits than its factorization.

968225832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2022 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 968225832 is about 31116.3274182542. The cubic root of 968225832 is about 989.2944099974.

The spelling of 968225832 in words is "nine hundred sixty-eight million, two hundred twenty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 397 504 756 794 1191 1512 1588 1613 2382 2779 3176 3226 3573 4764 4839 5558 6452 7146 8337 9528 9678 10719 11116 11291 12904 14292 14517 16674 19356 21438 22232 22582 25011 28584 29034 33348 33873 38712 42876 43551 45164 50022 58068 66696 67746 75033 85752 87102 90328 100044 101619 116136 135492 150066 174204 200088 203238 270984 300132 304857 348408 406476 600264 609714 640361 812952 1219428 1280722 1921083 2438856 2561444 3842166 4482527 5122888 5763249 7684332 8965054 11526498 13447581 15368664 17289747 17930108 23052996 26895162 34579494 35860216 40342743 46105992 53790324 69158988 80685486 107580648 121028229 138317976 161370972 242056458 322741944 484112916 968225832