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87384256 = 2643113281
BaseRepresentation
bin1010011010101…
…10000011000000
320002102120122221
411031112003000
5134332244011
612400540424
72110516411
oct515260300
9202376587
1087384256
11453650a3
1225321714
131514747b
14b869808
157a11971
hex53560c0

87384256 has 56 divisors (see below), whose sum is σ = 179643024. Its totient is φ = 42147840.

The previous prime is 87384239. The next prime is 87384289. The reversal of 87384256 is 65248378.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310836 + ... + 311116.

Almost surely, 287384256 is an apocalyptic number.

87384256 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89821512).

87384256 is an abundant number, since it is smaller than the sum of its proper divisors (92258768).

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

87384256 is a wasteful number, since it uses less digits than its factorization.

87384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 87384256 is about 9347.9546425943. The cubic root of 87384256 is about 443.7561629508.

The spelling of 87384256 in words is "eighty-seven million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 113 172 226 281 344 452 562 688 904 1124 1376 1808 2248 2752 3616 4496 4859 7232 8992 9718 12083 17984 19436 24166 31753 38872 48332 63506 77744 96664 127012 155488 193328 254024 310976 386656 508048 773312 1016096 1365379 2032192 2730758 5461516 10923032 21846064 43692128 87384256