Search a number
-
+
96032328 = 2337718397
BaseRepresentation
bin1011011100101…
…01011001001000
320200200221120220
411232111121020
5144041013303
613310150040
72244155430
oct556253110
9220627526
1096032328
114a231567
12281b2320
1316b84882
14ca7b2c0
15866e053
hex5b95648

96032328 has 128 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 26449920.

The previous prime is 96032309. The next prime is 96032333. The reversal of 96032328 is 82323069.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 989976 + ... + 990072.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 296032328 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 96032328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

96032328 is an abundant number, since it is smaller than the sum of its proper divisors (188465592).

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

96032328 is a wasteful number, since it uses less digits than its factorization.

96032328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 96032328 is about 9799.6085636111. The cubic root of 96032328 is about 457.9370889225.

The spelling of 96032328 in words is "ninety-six million, thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 83 84 97 142 166 168 194 213 249 284 291 332 388 426 497 498 568 581 582 664 679 776 852 994 996 1162 1164 1358 1491 1704 1743 1988 1992 2037 2324 2328 2716 2982 3486 3976 4074 4648 5432 5893 5964 6887 6972 8051 8148 11786 11928 13774 13944 16102 16296 17679 20661 23572 24153 27548 32204 35358 41251 41322 47144 48209 48306 55096 56357 64408 70716 82502 82644 96418 96612 112714 123753 141432 144627 165004 165288 169071 192836 193224 225428 247506 289254 330008 338142 385672 450856 495012 571621 578508 676284 990024 1143242 1157016 1352568 1714863 2286484 3429726 4001347 4572968 6859452 8002694 12004041 13718904 16005388 24008082 32010776 48016164 96032328