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82855296 = 2732711013
BaseRepresentation
bin1001111000001…
…00010110000000
312202220111002200
410330010112000
5132202332141
612115513200
72024154426
oct474042600
9182814080
1082855296
1142851457
12238b8800
131421cc04
14b00b116
157419ab6
hex4f04580

82855296 has 96 divisors (see below), whose sum is σ = 242021520. Its totient is φ = 27202560.

The previous prime is 82855277. The next prime is 82855303. The reversal of 82855296 is 69255828.

82855296 is a `hidden beast` number, since 8 + 2 + 8 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81286 + ... + 82298.

Almost surely, 282855296 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 82855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121010760).

82855296 is an abundant number, since it is smaller than the sum of its proper divisors (159166224).

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

82855296 is a wasteful number, since it uses less digits than its factorization.

82855296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1089 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 82855296 is about 9102.4884509677. The cubic root of 82855296 is about 435.9534220646.

The spelling of 82855296 in words is "eighty-two million, eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1013 1136 1152 1278 1704 2026 2272 2556 3039 3408 4052 4544 5112 6078 6816 8104 9088 9117 10224 12156 13632 16208 18234 20448 24312 27264 32416 36468 40896 48624 64832 71923 72936 81792 97248 129664 143846 145872 194496 215769 287692 291744 388992 431538 575384 583488 647307 863076 1150768 1166976 1294614 1726152 2301536 2589228 3452304 4603072 5178456 6904608 9206144 10356912 13809216 20713824 27618432 41427648 82855296