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82995876 = 223219711709
BaseRepresentation
bin1001111001001…
…10101010100100
312210011121221100
410330212222210
5132221332001
612122520100
72025311325
oct474465244
9183147840
1082995876
1142938037
1223966030
131426bbb2
14b04644c
157446586
hex4f26aa4

82995876 has 72 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 25824960.

The previous prime is 82995859. The next prime is 82995877. The reversal of 82995876 is 67859928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82995877) 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 23 ways as a sum of consecutive naturals, for example, 47710 + ... + 49418.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 282995876 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 82995876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

82995876 is an abundant number, since it is smaller than the sum of its proper divisors (141082524).

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

82995876 is a wasteful number, since it uses less digits than its factorization.

82995876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1804 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 82995876 is about 9110.2072424287. The cubic root of 82995876 is about 436.1998424558.

The spelling of 82995876 in words is "eighty-two million, nine hundred ninety-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 1709 2556 2698 3418 4047 5127 5396 6836 8094 10254 12141 15381 16188 20508 24282 30762 32471 48564 61524 64942 97413 121339 129884 194826 242678 292239 364017 389652 485356 584478 728034 1092051 1168956 1456068 2184102 2305441 4368204 4610882 6916323 9221764 13832646 20748969 27665292 41497938 82995876