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87173928 = 23331912113
BaseRepresentation
bin1010011001000…
…10101100101000
320002000220011000
411030202230220
5134304031203
612352235000
72105652252
oct514425450
9202026130
1087173928
1145231076
122523ba60
13150a280a
14b812cd2
1579be4a3
hex5322b28

87173928 has 64 divisors (see below), whose sum is σ = 243532800. Its totient is φ = 28892160.

The previous prime is 87173917. The next prime is 87173929. The reversal of 87173928 is 82937178.

It is not an unprimeable number, because it can be changed into a prime (87173929) 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 15 ways as a sum of consecutive naturals, for example, 40200 + ... + 42312.

It is an arithmetic number, because the mean of its divisors is an integer number (3805200).

Almost surely, 287173928 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 87173928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121766400).

87173928 is an abundant number, since it is smaller than the sum of its proper divisors (156358872).

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

87173928 is a wasteful number, since it uses less digits than its factorization.

87173928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2309 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 87173928 is about 9336.6979173581. The cubic root of 87173928 is about 443.3998465541.

It can be divided in two parts, 8717392 and 8, that added together give a triangular number (8717400 = T4175).

The spelling of 87173928 in words is "eighty-seven million, one hundred seventy-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1146 1528 1719 2113 2292 3438 4226 4584 5157 6339 6876 8452 10314 12678 13752 16904 19017 20628 25356 38034 41256 50712 57051 76068 114102 152136 228204 403583 456408 807166 1210749 1614332 2421498 3228664 3632247 4842996 7264494 9685992 10896741 14528988 21793482 29057976 43586964 87173928