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96413632 = 2672941181
BaseRepresentation
bin1011011111100…
…10011111000000
320201102022122021
411233302133000
5144140214012
613322251224
72250334210
oct557623700
9221368567
1096413632
114a471a97
1228356b14
1316c892b3
14cb3a240
1586e7007
hex5bf27c0

96413632 has 112 divisors (see below), whose sum is σ = 232989120. Its totient is φ = 38707200.

The previous prime is 96413587. The next prime is 96413641. The reversal of 96413632 is 23631469.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532582 + ... + 532762.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 296413632 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 96413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116494560).

96413632 is an abundant number, since it is smaller than the sum of its proper divisors (136575488).

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

96413632 is a wasteful number, since it uses less digits than its factorization.

96413632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 96413632 is about 9819.0443526852. The cubic root of 96413632 is about 458.5423803925.

The spelling of 96413632 in words is "ninety-six million, four hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 56 58 64 82 112 116 164 181 203 224 232 287 328 362 406 448 464 574 656 724 812 928 1148 1189 1267 1312 1448 1624 1856 2296 2378 2534 2624 2896 3248 4592 4756 5068 5249 5792 6496 7421 8323 9184 9512 10136 10498 11584 12992 14842 16646 18368 19024 20272 20996 29684 33292 36743 38048 40544 41992 51947 59368 66584 73486 76096 81088 83984 103894 118736 133168 146972 167968 207788 215209 237472 266336 293944 335936 415576 430418 474944 532672 587888 831152 860836 1175776 1506463 1662304 1721672 2351552 3012926 3324608 3443344 6025852 6886688 12051704 13773376 24103408 48206816 96413632