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96864984 = 2334831801
BaseRepresentation
bin1011100011000…
…00101011011000
320202021020210000
411301200223120
5144244134414
613340053000
72254224126
oct561405330
9222236700
1096864984
114a750107
1228534160
13170b6878
14cc16916
158785b09
hex5c60ad8

96864984 has 80 divisors (see below), whose sum is σ = 274732920. Its totient is φ = 31881600.

The previous prime is 96864953. The next prime is 96864991. The reversal of 96864984 is 48946869.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96864984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52884 + ... + 54684.

Almost surely, 296864984 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 96864984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137366460).

96864984 is an abundant number, since it is smaller than the sum of its proper divisors (177867936).

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

96864984 is a wasteful number, since it uses less digits than its factorization.

96864984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1889 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 96864984 is about 9842.0010160536. The cubic root of 96864984 is about 459.2568087439.

The spelling of 96864984 in words is "ninety-six million, eight hundred sixty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1801 1992 2241 2988 3602 4482 5403 5976 6723 7204 8964 10806 13446 14408 16209 17928 21612 26892 32418 43224 48627 53784 64836 97254 129672 145881 149483 194508 291762 298966 389016 448449 583524 597932 896898 1167048 1195864 1345347 1793796 2690694 3587592 4036041 5381388 8072082 10762776 12108123 16144164 24216246 32288328 48432492 96864984