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85454393 = 177183853
BaseRepresentation
bin1010001011111…
…10111000111001
312221210112101112
411011332320321
5133334020033
612251330105
72055231113
oct505767071
9187715345
1085454393
1144267172
1224750935
131491cc3b
14b4c63b3
15777ec48
hex517ee39

85454393 has 16 divisors (see below), whose sum is σ = 92969856. Its totient is φ = 78247680.

The previous prime is 85454389. The next prime is 85454399. The reversal of 85454393 is 39345458.

It is not a de Polignac number, because 85454393 - 22 = 85454389 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85454393.

It is not an unprimeable number, because it can be changed into a prime (85454399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99755 + ... + 100607.

It is an arithmetic number, because the mean of its divisors is an integer number (5810616).

Almost surely, 285454393 is an apocalyptic number.

85454393 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

85454393 is a deficient number, since it is larger than the sum of its proper divisors (7515463).

85454393 is a wasteful number, since it uses less digits than its factorization.

85454393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024.

The product of its digits is 259200, while the sum is 41.

The square root of 85454393 is about 9244.1545313782. The cubic root of 85454393 is about 440.4650609635.

The spelling of 85454393 in words is "eighty-five million, four hundred fifty-four thousand, three hundred ninety-three".

Divisors: 1 17 71 83 853 1207 1411 5893 14501 60563 70799 100181 1029571 1203583 5026729 85454393