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968250504 = 2331317237937
BaseRepresentation
bin111001101101100…
…101010010001000
32111110221012222210
4321231211102020
53440333004004
6240024545120
732664664524
oct7155452210
92443835883
10968250504
11457608a31
122303221a0
131257a1ac0
1492844d84
155a00e089
hex39b65488

968250504 has 128 divisors (see below), whose sum is σ = 2880541440. Its totient is φ = 268173312.

The previous prime is 968250473. The next prime is 968250523. The reversal of 968250504 is 405052869.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118024 + ... + 125960.

It is an arithmetic number, because the mean of its divisors is an integer number (22504230).

Almost surely, 2968250504 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 968250504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440270720).

968250504 is an abundant number, since it is smaller than the sum of its proper divisors (1912290936).

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

968250504 is a wasteful number, since it uses less digits than its factorization.

968250504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7999 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 968250504 is about 31116.7238635432. The cubic root of 968250504 is about 989.3028128801.

The spelling of 968250504 in words is "nine hundred sixty-eight million, two hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 23 24 26 34 39 46 51 52 68 69 78 92 102 104 136 138 156 184 204 221 276 299 312 391 408 442 552 598 663 782 884 897 1173 1196 1326 1564 1768 1794 2346 2392 2652 3128 3588 4692 5083 5304 7176 7937 9384 10166 15249 15874 20332 23811 30498 31748 40664 47622 60996 63496 95244 103181 121992 134929 182551 190488 206362 269858 309543 365102 404787 412724 539716 547653 619086 730204 809574 825448 1079432 1095306 1238172 1460408 1619148 1754077 2190612 2373163 2476344 3103367 3238296 3508154 4381224 4746326 5262231 6206734 7016308 7119489 9310101 9492652 10524462 12413468 14032616 14238978 18620202 18985304 21048924 24826936 28477956 37240404 40343771 42097848 56955912 74480808 80687542 121031313 161375084 242062626 322750168 484125252 968250504