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82052334 = 23271350093
BaseRepresentation
bin1001110010000…
…00010011101110
312201101200122100
410321000103232
5132001133314
612050355530
72014301430
oct471002356
9181350570
1082052334
1142353151
122358bba6
1313ccb5a0
14ac7c650
15730bc09
hex4e404ee

82052334 has 48 divisors (see below), whose sum is σ = 218810592. Its totient is φ = 21639744.

The previous prime is 82052329. The next prime is 82052359. The reversal of 82052334 is 43325028.

It is a junction number, because it is equal to n+sod(n) for n = 82052298 and 82052307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23409 + ... + 26684.

It is an arithmetic number, because the mean of its divisors is an integer number (4558554).

Almost surely, 282052334 is an apocalyptic number.

82052334 is an abundant number, since it is smaller than the sum of its proper divisors (136758258).

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

82052334 is a wasteful number, since it uses less digits than its factorization.

82052334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50121 (or 50118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 82052334 is about 9058.2743389677. The cubic root of 82052334 is about 434.5405533500.

The spelling of 82052334 in words is "eighty-two million, fifty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 50093 100186 150279 300558 350651 450837 651209 701302 901674 1051953 1302418 1953627 2103906 3155859 3907254 4558463 5860881 6311718 9116926 11721762 13675389 27350778 41026167 82052334