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96333952 = 27111319277
BaseRepresentation
bin1011011110111…
…11000010000000
320201021021100011
411233133002000
5144130141302
613320434304
72246553001
oct557370200
9221237304
1096333952
114a418140
1228318994
1316c5bc50
14cb191a8
1586cd5d7
hex5bdf080

96333952 has 128 divisors (see below), whose sum is σ = 238190400. Its totient is φ = 38154240.

The previous prime is 96333947. The next prime is 96333953. The reversal of 96333952 is 25933369.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (96333953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347638 + ... + 347914.

Almost surely, 296333952 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 96333952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119095200).

96333952 is an abundant number, since it is smaller than the sum of its proper divisors (141856448).

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

96333952 is a wasteful number, since it uses less digits than its factorization.

96333952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its digits is 131220, while the sum is 40.

The square root of 96333952 is about 9814.9860927054. The cubic root of 96333952 is about 458.4160264532.

The spelling of 96333952 in words is "ninety-six million, three hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 128 143 152 176 208 209 247 277 286 304 352 416 418 494 554 572 608 704 832 836 988 1108 1144 1216 1408 1664 1672 1976 2216 2288 2432 2717 3047 3344 3601 3952 4432 4576 5263 5434 6094 6688 7202 7904 8864 9152 10526 10868 12188 13376 14404 15808 17728 18304 21052 21736 24376 26752 28808 31616 35456 39611 42104 43472 48752 57616 57893 68419 79222 84208 86944 97504 115232 115786 136838 158444 168416 173888 195008 230464 231572 273676 316888 336832 347776 390016 460928 463144 547352 633776 673664 752609 926288 1094704 1267552 1505218 1852576 2189408 2535104 3010436 3705152 4378816 5070208 6020872 7410304 8757632 12041744 24083488 48166976 96333952