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85412008 = 23114871993
BaseRepresentation
bin1010001011101…
…00100010101000
312221201101020201
411011310202220
5133331141013
612250401544
72054663413
oct505644250
9187641221
1085412008
1144238340
12247302b4
1314906866
14b4b4b7a
1577723dd
hex51748a8

85412008 has 32 divisors (see below), whose sum is σ = 175152960. Its totient is φ = 38724480.

The previous prime is 85411987. The next prime is 85412023. The reversal of 85412008 is 80021458.

It is a super-2 number, since 2×854120082 = 14590422221184128, which contains 22 as substring.

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, 41860 + ... + 43852.

It is an arithmetic number, because the mean of its divisors is an integer number (5473530).

Almost surely, 285412008 is an apocalyptic number.

85412008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85412008 is an abundant number, since it is smaller than the sum of its proper divisors (89740952).

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

85412008 is a wasteful number, since it uses less digits than its factorization.

85412008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 85412008 is about 9241.8617172083. The cubic root of 85412008 is about 440.3922260145.

The spelling of 85412008 in words is "eighty-five million, four hundred twelve thousand, eight".

Divisors: 1 2 4 8 11 22 44 88 487 974 1948 1993 3896 3986 5357 7972 10714 15944 21428 21923 42856 43846 87692 175384 970591 1941182 3882364 7764728 10676501 21353002 42706004 85412008