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87804 = 2234271
BaseRepresentation
bin10101011011111100
311110110000
4111123330
510302204
61514300
7513663
oct253374
9143400
1087804
115aa72
1242990
1330c72
1423dda
151b039
hex156fc

87804 has 30 divisors (see below), whose sum is σ = 230384. Its totient is φ = 29160.

The previous prime is 87803. The next prime is 87811. The reversal of 87804 is 40878.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87803) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 189 + ... + 459.

287804 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 87804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115192).

87804 is an abundant number, since it is smaller than the sum of its proper divisors (142580).

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

87804 is a wasteful number, since it uses less digits than its factorization.

87804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87804 is about 296.3173973968. The cubic root of 87804 is about 44.4465545294.

The spelling of 87804 in words is "eighty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1626 2439 3252 4878 7317 9756 14634 21951 29268 43902 87804