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85757460 = 22356123431
BaseRepresentation
bin1010001110010…
…00111000010100
312222100221010020
411013020320110
5133423214320
612302025140
72060632515
oct507107024
9188327106
1085757460
1144453938
12248781b0
13149c7b79
14b564a0c
1577de940
hex51c8e14

85757460 has 48 divisors (see below), whose sum is σ = 244067712. Its totient is φ = 22492800.

The previous prime is 85757443. The next prime is 85757461. The reversal of 85757460 is 6475758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85757461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8056 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (5084744).

Almost surely, 285757460 is an apocalyptic number.

It is an amenable number.

85757460 is an abundant number, since it is smaller than the sum of its proper divisors (158310252).

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

85757460 is a wasteful number, since it uses less digits than its factorization.

85757460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23504 (or 23502 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 85757460 is about 9260.5323821042. The cubic root of 85757460 is about 440.9851548625.

The spelling of 85757460 in words is "eighty-five million, seven hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 23431 46862 70293 93724 117155 140586 234310 281172 351465 468620 702930 1405860 1429291 2858582 4287873 5717164 7146455 8575746 14292910 17151492 21439365 28585820 42878730 85757460