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96200832 = 2737132753
BaseRepresentation
bin1011011101111…
…10100010000000
320201000111201210
411232332202000
5144111411312
613313530120
72245456620
oct556764200
9221014653
1096200832
114a337122
1228273940
1316c13490
14cac2880
1586a3e3c
hex5bbe880

96200832 has 128 divisors (see below), whose sum is σ = 314616960. Its totient is φ = 25362432.

The previous prime is 96200831. The next prime is 96200833. The reversal of 96200832 is 23800269.

It is an interprime number because it is at equal distance from previous prime (96200831) and next prime (96200833).

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

It is a self number, because there is not a number n which added to its sum of digits gives 96200832.

It is not an unprimeable number, because it can be changed into a prime (96200831) 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, 33568 + ... + 36320.

It is an arithmetic number, because the mean of its divisors is an integer number (2457945).

Almost surely, 296200832 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 96200832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480).

96200832 is an abundant number, since it is smaller than the sum of its proper divisors (218416128).

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

96200832 is a wasteful number, since it uses less digits than its factorization.

96200832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96200832 is about 9808.2022817640. The cubic root of 96200832 is about 458.2047735813.

The spelling of 96200832 in words is "ninety-six million, two hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2753 2912 4368 4992 5506 5824 8259 8736 11012 11648 16518 17472 19271 22024 33036 34944 35789 38542 44048 57813 66072 71578 77084 88096 107367 115626 132144 143156 154168 176192 214734 231252 250523 264288 286312 308336 352384 429468 462504 501046 528576 572624 616672 751569 858936 925008 1002092 1057152 1145248 1233344 1503138 1717872 1850016 2004184 2290496 2466688 3006276 3435744 3700032 4008368 4580992 6012552 6871488 7400064 8016736 12025104 13742976 16033472 24050208 32066944 48100416 96200832