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82052316 = 223223412417
BaseRepresentation
bin1001110010000…
…00010011011100
312201101200121200
410321000103130
5132001133231
612050355500
72014301403
oct471002334
9181350550
1082052316
1142353135
122358bb90
1313ccb588
14ac7c63a
15730bbe6
hex4e404dc

82052316 has 72 divisors (see below), whose sum is σ = 221798304. Its totient is φ = 25512960.

The previous prime is 82052291. The next prime is 82052329. The reversal of 82052316 is 61325028.

It is a self number, because there is not a number n which added to its sum of digits gives 82052316.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32740 + ... + 35156.

It is an arithmetic number, because the mean of its divisors is an integer number (3080532).

Almost surely, 282052316 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 82052316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899152).

82052316 is an abundant number, since it is smaller than the sum of its proper divisors (139745988).

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

82052316 is a wasteful number, since it uses less digits than its factorization.

82052316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82052316 is about 9058.2733454009. The cubic root of 82052316 is about 434.5405215746.

The spelling of 82052316 in words is "eighty-two million, fifty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2417 2829 3772 4834 5658 7251 8487 9668 11316 14502 16974 21753 29004 33948 43506 55591 87012 99097 111182 166773 198194 222364 297291 333546 396388 500319 594582 667092 891873 1000638 1189164 1783746 2001276 2279231 3567492 4558462 6837693 9116924 13675386 20513079 27350772 41026158 82052316