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96333084 = 22331771739
BaseRepresentation
bin1011011110111…
…10110100011100
320201021020011000
411233132310130
5144130124314
613320430300
72246550321
oct557366434
9221236130
1096333084
114a417521
1228318390
1316c5b733
14cb18b48
1586cd209
hex5bded1c

96333084 has 96 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 29756160.

The previous prime is 96333079. The next prime is 96333103. The reversal of 96333084 is 48033369.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129987 + ... + 130725.

It is an arithmetic number, because the mean of its divisors is an integer number (2797200).

Almost surely, 296333084 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 96333084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

96333084 is an abundant number, since it is smaller than the sum of its proper divisors (172198116).

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

96333084 is a wasteful number, since it uses less digits than its factorization.

96333084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 96333084 is about 9814.9418745095. The cubic root of 96333084 is about 458.4146496236.

The spelling of 96333084 in words is "ninety-six million, three hundred thirty-three thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 102 108 142 153 204 213 284 306 426 459 612 639 739 852 918 1207 1278 1478 1836 1917 2217 2414 2556 2956 3621 3834 4434 4828 6651 7242 7668 8868 10863 12563 13302 14484 19953 21726 25126 26604 32589 37689 39906 43452 50252 52469 65178 75378 79812 104938 113067 130356 150756 157407 209876 226134 314814 339201 452268 472221 629628 678402 891973 944442 1356804 1416663 1783946 1888884 2675919 2833326 3567892 5351838 5666652 8027757 10703676 16055514 24083271 32111028 48166542 96333084