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85590414 = 23271352253
BaseRepresentation
bin1010001101000…
…00000110001110
312222001102222100
411012200012032
5133402343124
612254255530
72056335510
oct506400616
9188042870
1085590414
114434a388
12247b75a6
1314969b20
14b51dbb0
1577aa1c9
hex51a018e

85590414 has 48 divisors (see below), whose sum is σ = 228245472. Its totient is φ = 22572864.

The previous prime is 85590409. The next prime is 85590433. The reversal of 85590414 is 41409558.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24489 + ... + 27764.

It is an arithmetic number, because the mean of its divisors is an integer number (4755114).

Almost surely, 285590414 is an apocalyptic number.

85590414 is an abundant number, since it is smaller than the sum of its proper divisors (142655058).

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

85590414 is a wasteful number, since it uses less digits than its factorization.

85590414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52281 (or 52278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85590414 is about 9251.5087418215. The cubic root of 85590414 is about 440.6986387262.

The spelling of 85590414 in words is "eighty-five million, five hundred ninety thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 52253 104506 156759 313518 365771 470277 679289 731542 940554 1097313 1358578 2037867 2194626 3291939 4075734 4755023 6113601 6583878 9510046 12227202 14265069 28530138 42795207 85590414