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87384096 = 253433713
BaseRepresentation
bin1010011010101…
…10000000100000
320002102120110000
411031112000200
5134332242341
612400540000
72110516062
oct515260040
9202376400
1087384096
1145364a68
1225321600
1315147387
14b869732
157a118b6
hex5356020

87384096 has 60 divisors (see below), whose sum is σ = 257001822. Its totient is φ = 29127168.

The previous prime is 87384053. The next prime is 87384103. The reversal of 87384096 is 69048378.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 3111696 = 9180^2 + 1764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14265 + ... + 19448.

Almost surely, 287384096 is an apocalyptic number.

It is an amenable number.

87384096 is an abundant number, since it is smaller than the sum of its proper divisors (169617726).

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

87384096 is a wasteful number, since it uses less digits than its factorization.

87384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33735 (or 33718 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87384096 is about 9347.9460845685. The cubic root of 87384096 is about 443.7558921125.

The spelling of 87384096 in words is "eighty-seven million, three hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 33713 67426 101139 134852 202278 269704 303417 404556 539408 606834 809112 910251 1078816 1213668 1618224 1820502 2427336 2730753 3236448 3641004 4854672 5461506 7282008 9709344 10923012 14564016 21846024 29128032 43692048 87384096