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96873336 = 23327732633
BaseRepresentation
bin1011100011000…
…10101101111000
320202021200020100
411301202231320
5144244421321
613340155400
72254260360
oct561425570
9222250210
1096873336
114a75640a
1228538b60
13170ba601
14cc199a0
158788326
hex5c62b78

96873336 has 96 divisors (see below), whose sum is σ = 304068960. Its totient is φ = 27288576.

The previous prime is 96873313. The next prime is 96873341. The reversal of 96873336 is 63337869.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 96873291 and 96873300.

It is a congruent number.

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, 35476 + ... + 38108.

It is an arithmetic number, because the mean of its divisors is an integer number (3167385).

Almost surely, 296873336 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 96873336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152034480).

96873336 is an abundant number, since it is smaller than the sum of its proper divisors (207195624).

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

96873336 is a wasteful number, since it uses less digits than its factorization.

96873336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 96873336 is about 9842.4253108672. The cubic root of 96873336 is about 459.2700078810.

The spelling of 96873336 in words is "ninety-six million, eight hundred seventy-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 2633 3066 4088 4599 5256 5266 6132 7899 9198 10532 12264 15798 18396 18431 21064 23697 31596 36792 36862 47394 55293 63192 73724 94788 110586 147448 165879 189576 192209 221172 331758 384418 442344 576627 663516 768836 1153254 1327032 1345463 1537672 1729881 2306508 2690926 3459762 4036389 4613016 5381852 6919524 8072778 10763704 12109167 13839048 16145556 24218334 32291112 48436668 96873336