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96239872 = 283167181
BaseRepresentation
bin1011011110010…
…00000100000000
320201002111021201
411233020010000
5144114133442
613314430544
72246011501
oct557100400
9221074251
1096239872
114a363493
1228292454
1316c28191
14cad2ba8
1586b07b7
hex5bc8100

96239872 has 72 divisors (see below), whose sum is σ = 202372352. Its totient is φ = 45619200.

The previous prime is 96239867. The next prime is 96239881. The reversal of 96239872 is 27893269.

It is a super-2 number, since 2×962398722 = 18524225925152768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531622 + ... + 531802.

Almost surely, 296239872 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 96239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101186176).

96239872 is an abundant number, since it is smaller than the sum of its proper divisors (106132480).

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

96239872 is a wasteful number, since it uses less digits than its factorization.

96239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The square root of 96239872 is about 9810.1922509194. The cubic root of 96239872 is about 458.2667477339.

The spelling of 96239872 in words is "ninety-six million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 181 248 256 268 362 496 536 724 992 1072 1448 1984 2077 2144 2896 3968 4154 4288 5611 5792 7936 8308 8576 11222 11584 12127 16616 17152 22444 23168 24254 33232 44888 46336 48508 66464 89776 97016 132928 179552 194032 265856 359104 375937 388064 531712 718208 751874 776128 1436416 1503748 1552256 3007496 3104512 6014992 12029984 24059968 48119936 96239872