Search a number
-
+
87376408 = 23721371627
BaseRepresentation
bin1010011010101…
…00001000011000
320002102011220021
411031110020120
5134332021113
612400440224
72110454500
oct515241030
9202364807
1087376408
114535a209
1225319074
1315143a22
14b866a00
157a0e48d
hex5354218

87376408 has 48 divisors (see below), whose sum is σ = 192087720. Its totient is φ = 37150848.

The previous prime is 87376403. The next prime is 87376411. The reversal of 87376408 is 80467378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87376403) 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, 52891 + ... + 54517.

Almost surely, 287376408 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 87376408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96043860).

87376408 is an abundant number, since it is smaller than the sum of its proper divisors (104711312).

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

87376408 is a wasteful number, since it uses less digits than its factorization.

87376408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 87376408 is about 9347.5348621976. The cubic root of 87376408 is about 443.7428779390.

The spelling of 87376408 in words is "eighty-seven million, three hundred seventy-six thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 959 1096 1627 1918 3254 3836 6508 6713 7672 11389 13016 13426 22778 26852 45556 53704 79723 91112 159446 222899 318892 445798 637784 891596 1560293 1783192 3120586 6241172 10922051 12482344 21844102 43688204 87376408