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412085808 = 243212592273
BaseRepresentation
bin11000100011111…
…110111000110000
31001201102010110100
4120203332320300
51320443221213
6104520232400
713132446231
oct3043767060
91051363410
10412085808
111a1680192
12b600b700
13674b3674
143ca2d088
152629e773
hex188fee30

412085808 has 60 divisors (see below), whose sum is σ = 1154691720. Its totient is φ = 137192448.

The previous prime is 412085789. The next prime is 412085809. The reversal of 412085808 is 808580214.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (412085809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180160 + ... + 182432.

It is an arithmetic number, because the mean of its divisors is an integer number (19244862).

Almost surely, 2412085808 is an apocalyptic number.

412085808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412085808 is an abundant number, since it is smaller than the sum of its proper divisors (742605912).

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

412085808 is a wasteful number, since it uses less digits than its factorization.

412085808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 412085808 is about 20299.8967485059. The cubic root of 412085808 is about 744.1535409786.

The spelling of 412085808 in words is "four hundred twelve million, eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1259 2273 2518 3777 4546 5036 6819 7554 9092 10072 11331 13638 15108 18184 20144 20457 22662 27276 30216 36368 40914 45324 54552 60432 81828 90648 109104 163656 181296 327312 2861707 5723414 8585121 11446828 17170242 22893656 25755363 34340484 45787312 51510726 68680968 103021452 137361936 206042904 412085808