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96881232 = 24372172423
BaseRepresentation
bin1011100011001…
…00101001010000
320202022002001210
411301210221100
5144300144412
613340300120
72254322400
oct561445120
9222262053
1096881232
114a761338
1228541640
13170c1096
14cc1c800
15878a83c
hex5c64a50

96881232 has 120 divisors (see below), whose sum is σ = 308390976. Its totient is φ = 26041344.

The previous prime is 96881227. The next prime is 96881233. The reversal of 96881232 is 23218869.

It is a happy number.

It is a super-2 number, since 2×968812322 = 18771946227675648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96881233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38773 + ... + 41195.

Almost surely, 296881232 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 96881232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154195488).

96881232 is an abundant number, since it is smaller than the sum of its proper divisors (211509744).

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

96881232 is a wasteful number, since it uses less digits than its factorization.

96881232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2452 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 96881232 is about 9842.8264233400. The cubic root of 96881232 is about 459.2824856780.

The spelling of 96881232 in words is "ninety-six million, eight hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2423 2499 2856 3332 4846 4998 5712 6664 7269 9692 9996 13328 14538 16961 19384 19992 29076 33922 38768 39984 41191 50883 58152 67844 82382 101766 116304 118727 123573 135688 164764 203532 237454 247146 271376 288337 329528 356181 407064 474908 494292 576674 659056 712362 814128 865011 949816 988584 1153348 1424724 1730022 1899632 1977168 2018359 2306696 2849448 3460044 4036718 4613392 5698896 6055077 6920088 8073436 12110154 13840176 16146872 24220308 32293744 48440616 96881232