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85934448 = 2432596767
BaseRepresentation
bin1010001111101…
…00000101110000
312222200220220100
411013310011300
5133444400243
612305512400
72062300515
oct507640560
9188626810
1085934448
1144564906
1224942700
1314a5a5b2
14b5ad30c
1578270d3
hex51f4170

85934448 has 30 divisors (see below), whose sum is σ = 240497504. Its totient is φ = 28644768.

The previous prime is 85934447. The next prime is 85934489. The reversal of 85934448 is 84443958.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85934447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298240 + ... + 298527.

Almost surely, 285934448 is an apocalyptic number.

It is an amenable number.

85934448 is an abundant number, since it is smaller than the sum of its proper divisors (154563056).

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

85934448 is a wasteful number, since it uses less digits than its factorization.

85934448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596781 (or 596772 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 85934448 is about 9270.0834947696. The cubic root of 85934448 is about 441.2883177942.

It can be divided in two parts, 8593 and 4448, that added together give a triangular number (13041 = T161).

The spelling of 85934448 in words is "eighty-five million, nine hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 596767 1193534 1790301 2387068 3580602 4774136 5370903 7161204 9548272 10741806 14322408 21483612 28644816 42967224 85934448