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85124544 = 2631273491
BaseRepresentation
bin1010001001011…
…10010111000000
312221011202220220
411010232113000
5133242441134
612240303040
72052355341
oct504562700
9187152826
1085124544
114406136a
1224611a80
1314835a6b
14b43c0c8
157717149
hex512e5c0

85124544 has 56 divisors (see below), whose sum is σ = 227063808. Its totient is φ = 28143360.

The previous prime is 85124521. The next prime is 85124597. The reversal of 85124544 is 44542158.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22639 + ... + 26129.

Almost surely, 285124544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113531904).

85124544 is an abundant number, since it is smaller than the sum of its proper divisors (141939264).

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

85124544 is a wasteful number, since it uses less digits than its factorization.

85124544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3623 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 85124544 is about 9226.2963316815. The cubic root of 85124544 is about 439.8976070278.

The spelling of 85124544 in words is "eighty-five million, one hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 3491 4064 6096 6982 8128 10473 12192 13964 20946 24384 27928 41892 55856 83784 111712 167568 223424 335136 443357 670272 886714 1330071 1773428 2660142 3546856 5320284 7093712 10640568 14187424 21281136 28374848 42562272 85124544