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85357944 = 23327169361
BaseRepresentation
bin1010001011001…
…11010101111000
312221121122002100
411011213111320
5133322423234
612245303400
72054346660
oct505472570
9187548070
1085357944
1144200761
1224704b60
13148b8079
14b49d1a0
157761399
hex5167578

85357944 has 48 divisors (see below), whose sum is σ = 264204720. Its totient is φ = 24387840.

The previous prime is 85357913. The next prime is 85358011. The reversal of 85357944 is 44975358.

85357944 is a `hidden beast` number, since 8 + 535 + 79 + 44 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85357944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84177 + ... + 85184.

It is an arithmetic number, because the mean of its divisors is an integer number (5504265).

Almost surely, 285357944 is an apocalyptic number.

85357944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85357944 is an abundant number, since it is smaller than the sum of its proper divisors (178846776).

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

85357944 is a wasteful number, since it uses less digits than its factorization.

85357944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169380 (or 169373 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85357944 is about 9238.9363024106. The cubic root of 85357944 is about 440.2992867380.

The spelling of 85357944 in words is "eighty-five million, three hundred fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 169361 338722 508083 677444 1016166 1185527 1354888 1524249 2032332 2371054 3048498 3556581 4064664 4742108 6096996 7113162 9484216 10669743 12193992 14226324 21339486 28452648 42678972 85357944