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85569744 = 24313137131
BaseRepresentation
bin1010001100110…
…11000011010000
312222000101121210
411012123003100
5133401212434
612254020120
72056221321
oct506330320
9188011553
1085569744
11443358a7
12247a7640
13149605b0
14b516448
1577a3ee9
hex519b0d0

85569744 has 40 divisors (see below), whose sum is σ = 238061152. Its totient is φ = 26328960.

The previous prime is 85569733. The next prime is 85569769. The reversal of 85569744 is 44796558.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85569693 and 85569702.

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, 67942 + ... + 69189.

Almost surely, 285569744 is an apocalyptic number.

It is an amenable number.

85569744 is an abundant number, since it is smaller than the sum of its proper divisors (152491408).

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

85569744 is a wasteful number, since it uses less digits than its factorization.

85569744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137155 (or 137149 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 85569744 is about 9250.3915592801. The cubic root of 85569744 is about 440.6631597755.

The spelling of 85569744 in words is "eighty-five million, five hundred sixty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 137131 274262 411393 548524 822786 1097048 1645572 1782703 2194096 3291144 3565406 5348109 6582288 7130812 10696218 14261624 21392436 28523248 42784872 85569744