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85746972 = 2238538377
BaseRepresentation
bin1010001110001…
…10010100011100
312222100101201210
411013012110130
5133422400342
612301504420
72060560113
oct507062434
9188311653
1085746972
1144446a73
1224872110
13149c316c
14b560c7a
1577db79c
hex51c651c

85746972 has 24 divisors (see below), whose sum is σ = 200334736. Its totient is φ = 28545408.

The previous prime is 85746937. The next prime is 85746977. The reversal of 85746972 is 27964758.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85746977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6048 + ... + 14424.

Almost surely, 285746972 is an apocalyptic number.

It is an amenable number.

85746972 is an abundant number, since it is smaller than the sum of its proper divisors (114587764).

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

85746972 is a wasteful number, since it uses less digits than its factorization.

85746972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9235 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 85746972 is about 9259.9660906507. The cubic root of 85746972 is about 440.9671768702.

The spelling of 85746972 in words is "eighty-five million, seven hundred forty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 853 1706 2559 3412 5118 8377 10236 16754 25131 33508 50262 100524 7145581 14291162 21436743 28582324 42873486 85746972