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80387568 = 24321513697
BaseRepresentation
bin1001100101010…
…01110111110000
312121021010000100
410302221313300
5131034400233
611550552400
71664166042
oct462516760
9177233010
1080387568
1141416408
1222b08700
1313867911
14a967a92
1570cd813
hex4ca9df0

80387568 has 60 divisors (see below), whose sum is σ = 226524688. Its totient is φ = 26611200.

The previous prime is 80387561. The next prime is 80387579. The reversal of 80387568 is 86578308.

80387568 is a `hidden beast` number, since 8 + 0 + 3 + 87 + 568 = 666.

It is a super-2 number, since 2×803875682 = 12924322177909248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80387561) 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, 19896 + ... + 23592.

Almost surely, 280387568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80387568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113262344).

80387568 is an abundant number, since it is smaller than the sum of its proper divisors (146137120).

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

80387568 is a wasteful number, since it uses less digits than its factorization.

80387568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 80387568 is about 8965.9114427926. The cubic root of 80387568 is about 431.5816423097.

The spelling of 80387568 in words is "eighty million, three hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 3697 5436 7248 7394 10872 11091 14788 21744 22182 29576 33273 44364 59152 66546 88728 133092 177456 266184 532368 558247 1116494 1674741 2232988 3349482 4465976 5024223 6698964 8931952 10048446 13397928 20096892 26795856 40193784 80387568