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85266468 = 22327248337
BaseRepresentation
bin1010001010100…
…01000000100100
312221102222121100
411011101000210
5133312011333
612243320100
72053516200
oct505210044
9187388540
1085266468
1144148a61
1224680030
1314885541
14b477b00
157744213
hex5151024

85266468 has 54 divisors (see below), whose sum is σ = 250729206. Its totient is φ = 24361344.

The previous prime is 85266443. The next prime is 85266499. The reversal of 85266468 is 86466258.

85266468 is a `hidden beast` number, since 8 + 526 + 64 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 2965284 = 9072^2 + 1722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22405 + ... + 25932.

Almost surely, 285266468 is an apocalyptic number.

It is an amenable number.

85266468 is an abundant number, since it is smaller than the sum of its proper divisors (165462738).

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

85266468 is a wasteful number, since it uses less digits than its factorization.

85266468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48361 (or 48349 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 85266468 is about 9233.9844054449. The cubic root of 85266468 is about 440.1419445617.

The spelling of 85266468 in words is "eighty-five million, two hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 48337 96674 145011 193348 290022 338359 435033 580044 676718 870066 1015077 1353436 1740132 2030154 2368513 3045231 4060308 4737026 6090462 7105539 9474052 12180924 14211078 21316617 28422156 42633234 85266468