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82520235 = 335787323
BaseRepresentation
bin1001110101100…
…10100010101011
312202021110111000
410322302202223
5132111121420
612104410043
72021260530
oct472624253
9182243430
1082520235
1142642746
1223776923
1314133555
14ad60d87
1573a0690
hex4eb28ab

82520235 has 32 divisors (see below), whose sum is σ = 167662080. Its totient is φ = 37723104.

The previous prime is 82520231. The next prime is 82520237. The reversal of 82520235 is 53202528.

It is not a de Polignac number, because 82520235 - 22 = 82520231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82520199 and 82520208.

It is not an unprimeable number, because it can be changed into a prime (82520231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42717 + ... + 44606.

It is an arithmetic number, because the mean of its divisors is an integer number (5239440).

Almost surely, 282520235 is an apocalyptic number.

82520235 is an abundant number, since it is smaller than the sum of its proper divisors (85141845).

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

82520235 is a wasteful number, since it uses less digits than its factorization.

82520235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87344 (or 87338 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82520235 is about 9084.0648940879. The cubic root of 82520235 is about 435.3649731243.

The spelling of 82520235 in words is "eighty-two million, five hundred twenty thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 87323 261969 436615 611261 785907 1309845 1833783 2357721 3056305 3929535 5501349 9168915 11788605 16504047 27506745 82520235