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83245365 = 32572191987
BaseRepresentation
bin1001111011000…
…11100100110101
312210122022011200
410331203210311
5132302322430
612132123113
72030400600
oct475434465
9183568150
1083245365
1142a98525
1223a66499
1314328618
14b0ad337
157495460
hex4f63935

83245365 has 72 divisors (see below), whose sum is σ = 176772960. Its totient is φ = 36033984.

The previous prime is 83245343. The next prime is 83245397. The reversal of 83245365 is 56354238.

It is a happy number.

It is not a de Polignac number, because 83245365 - 217 = 83114293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40902 + ... + 42888.

It is an arithmetic number, because the mean of its divisors is an integer number (2455180).

Almost surely, 283245365 is an apocalyptic number.

It is an amenable number.

83245365 is an abundant number, since it is smaller than the sum of its proper divisors (93527595).

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

83245365 is a wasteful number, since it uses less digits than its factorization.

83245365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 83245365 is about 9123.8897954765. The cubic root of 83245365 is about 436.6364834203.

It can be divided in two parts, 8324 and 5365, that added together give a square (13689 = 1172).

The spelling of 83245365 in words is "eighty-three million, two hundred forty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 1197 1987 1995 2205 2793 4655 5961 5985 8379 9935 13909 13965 17883 29805 37753 41727 41895 69545 89415 97363 113259 125181 188765 208635 264271 292089 339777 486815 566295 625905 792813 876267 1321355 1460445 1698885 1849897 2378439 3964065 4381335 5549691 9249485 11892195 16649073 27748455 83245365