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87789096 = 233615053
BaseRepresentation
bin1010011101110…
…00111000101000
320010012011000000
411032320320220
5134433222341
612413343000
72114123613
oct516707050
9203164000
1087789096
114561127a
1225497a60
1315259815
14b93317a
157a918b6
hex53b8e28

87789096 has 56 divisors (see below), whose sum is σ = 246810330. Its totient is φ = 29261088.

The previous prime is 87789083. The next prime is 87789103. The reversal of 87789096 is 69098778.

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 34644996 = 7290^2 + 5886^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1695 + ... + 13358.

Almost surely, 287789096 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 87789096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123405165).

87789096 is an abundant number, since it is smaller than the sum of its proper divisors (159021234).

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

87789096 is a wasteful number, since it uses less digits than its factorization.

87789096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15077 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 87789096 is about 9369.5835553134. The cubic root of 87789096 is about 444.4403957594.

The spelling of 87789096 in words is "eighty-seven million, seven hundred eighty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 15053 30106 45159 60212 90318 120424 135477 180636 270954 361272 406431 541908 812862 1083816 1219293 1625724 2438586 3251448 3657879 4877172 7315758 9754344 10973637 14631516 21947274 29263032 43894548 87789096