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82853136 = 2432575369
BaseRepresentation
bin1001111000000…
…11110100010000
312202220101010200
410330003310100
5132202300021
612115455200
72024145222
oct474036420
9182811120
1082853136
114284a873
12238b7500
131421bc32
14b00a412
157419126
hex4f03d10

82853136 has 30 divisors (see below), whose sum is σ = 231874110. Its totient is φ = 27617664.

The previous prime is 82853093. The next prime is 82853143. The reversal of 82853136 is 63135828.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 27499536 = 7440^2 + 5244^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 82853136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287541 + ... + 287828.

It is an arithmetic number, because the mean of its divisors is an integer number (7729137).

Almost surely, 282853136 is an apocalyptic number.

It is an amenable number.

82853136 is an abundant number, since it is smaller than the sum of its proper divisors (149020974).

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

82853136 is a wasteful number, since it uses less digits than its factorization.

82853136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575383 (or 575374 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82853136 is about 9102.3698013210. The cubic root of 82853136 is about 435.9496336624.

The spelling of 82853136 in words is "eighty-two million, eight hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 575369 1150738 1726107 2301476 3452214 4602952 5178321 6904428 9205904 10356642 13808856 20713284 27617712 41426568 82853136