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85919376 = 2431789987
BaseRepresentation
bin1010001111100…
…00011010010000
312222200011020010
411013300122100
5133443410001
612305314520
72062205544
oct507603220
9188604203
1085919376
1144554554
1224935a40
1314a5378a
14b5a7a24
1578228d6
hex51f0690

85919376 has 20 divisors (see below), whose sum is σ = 221958512. Its totient is φ = 28639776.

The previous prime is 85919371. The next prime is 85919381. The reversal of 85919376 is 67391958.

It is an interprime number because it is at equal distance from previous prime (85919371) and next prime (85919381).

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1789987 = 85919376 / (8 + 5 + 9 + 1 + 9 + 3 + 7 + 6).

It is not an unprimeable number, because it can be changed into a prime (85919371) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 894946 + ... + 895041.

Almost surely, 285919376 is an apocalyptic number.

It is an amenable number.

85919376 is an abundant number, since it is smaller than the sum of its proper divisors (136039136).

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

85919376 is a wasteful number, since it uses less digits than its factorization.

85919376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789998 (or 1789992 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 85919376 is about 9269.2705214596. The cubic root of 85919376 is about 441.2625171731.

The spelling of 85919376 in words is "eighty-five million, nine hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1789987 3579974 5369961 7159948 10739922 14319896 21479844 28639792 42959688 85919376