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87438870 = 23252353797
BaseRepresentation
bin1010011011000…
…11011000010110
320002112100120200
411031203120112
5134341020440
612402041330
72111134551
oct515433026
9202470520
1087438870
11453a2132
1225349246
131516629c
14b881698
157a22c30
hex5363616

87438870 has 96 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 21854976.

The previous prime is 87438839. The next prime is 87438887. The reversal of 87438870 is 7883478.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 109312 + ... + 110108.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882).

Almost surely, 287438870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87438870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

87438870 is an abundant number, since it is smaller than the sum of its proper divisors (154565802).

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

87438870 is a wasteful number, since it uses less digits than its factorization.

87438870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87438870 is about 9350.8753600933. The cubic root of 87438870 is about 443.8485909351.

The spelling of 87438870 in words is "eighty-seven million, four hundred thirty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 53 69 90 106 115 138 159 207 230 265 318 345 414 477 530 690 795 797 954 1035 1219 1590 1594 2070 2385 2391 2438 3657 3985 4770 4782 6095 7173 7314 7970 10971 11955 12190 14346 18285 18331 21942 23910 35865 36570 36662 42241 54855 54993 71730 84482 91655 109710 109986 126723 164979 183310 211205 253446 274965 329958 380169 422410 549930 633615 760338 824895 971543 1267230 1649790 1900845 1943086 2914629 3801690 4857715 5829258 8743887 9715430 14573145 17487774 29146290 43719435 87438870