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82502136 = 233210710709
BaseRepresentation
bin1001110101011…
…10000111111000
312202020112122200
410322232013320
5132110032021
612104150200
72021154003
oct472560770
9182215580
1082502136
1142630092
1223768360
1314128242
14ad5853a
15739a126
hex4eae1f8

82502136 has 48 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 27241152.

The previous prime is 82502117. The next prime is 82502137. The reversal of 82502136 is 63120528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82502137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 13058.

Almost surely, 282502136 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 82502136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

82502136 is an abundant number, since it is smaller than the sum of its proper divisors (143050464).

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

82502136 is a wasteful number, since it uses less digits than its factorization.

82502136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10821 counting only the distinct ones).

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

The square root of 82502136 is about 9083.0686444615. The cubic root of 82502136 is about 435.3331415508. Note that the first 3 decimals are identical.

The spelling of 82502136 in words is "eighty-two million, five hundred two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 10709 21418 32127 42836 64254 85672 96381 128508 192762 257016 385524 771048 1145863 2291726 3437589 4583452 6875178 9166904 10312767 13750356 20625534 27500712 41251068 82502136