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85617072 = 2432594563
BaseRepresentation
bin1010001101001…
…10100110110000
312222002210112200
411012212212300
5133404221242
612255023200
72056506312
oct506464660
9188083480
1085617072
1144368412
122480ab00
1314978cb8
14b5297b2
1577b304c
hex51a69b0

85617072 has 30 divisors (see below), whose sum is σ = 239609292. Its totient is φ = 28538976.

The previous prime is 85617067. The next prime is 85617079. The reversal of 85617072 is 27071658.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85617079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297138 + ... + 297425.

Almost surely, 285617072 is an apocalyptic number.

It is an amenable number.

85617072 is an abundant number, since it is smaller than the sum of its proper divisors (153992220).

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

85617072 is a wasteful number, since it uses less digits than its factorization.

85617072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594577 (or 594568 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85617072 is about 9252.9493676341. The cubic root of 85617072 is about 440.7443873262.

The spelling of 85617072 in words is "eighty-five million, six hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 594563 1189126 1783689 2378252 3567378 4756504 5351067 7134756 9513008 10702134 14269512 21404268 28539024 42808536 85617072