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82508532 = 22371113857
BaseRepresentation
bin1001110101011…
…11101011110100
312202020212102120
410322233223310
5132110233112
612104235540
72021211441
oct472575364
9182225376
1082508532
1142634977
122376bbb0
131412b122
14ad5a9c8
15739be8c
hex4eafaf4

82508532 has 48 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 26844160.

The previous prime is 82508527. The next prime is 82508533. The reversal of 82508532 is 23580528.

It is a junction number, because it is equal to n+sod(n) for n = 82508493 and 82508502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82508533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95848 + ... + 96704.

It is an arithmetic number, because the mean of its divisors is an integer number (4108104).

Almost surely, 282508532 is an apocalyptic number.

It is an amenable number.

82508532 is an abundant number, since it is smaller than the sum of its proper divisors (114680460).

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

82508532 is a wasteful number, since it uses less digits than its factorization.

82508532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 82508532 is about 9083.4207212922. The cubic root of 82508532 is about 435.3443910325.

The spelling of 82508532 in words is "eighty-two million, five hundred eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 113 142 213 226 284 339 426 452 678 852 857 1356 1714 2571 3428 5142 8023 10284 16046 24069 32092 48138 60847 96276 96841 121694 182541 193682 243388 290523 365082 387364 581046 730164 1162092 6875711 13751422 20627133 27502844 41254266 82508532