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87089256 = 2336109137
BaseRepresentation
bin1010011000011…
…10000001101000
320001212121000000
411030032001220
5134243324011
612350343000
72105150352
oct514160150
9201777000
1087089256
11451834a1
12251baa60
1315073107
14b7d00d2
1579a4356
hex530e068

87089256 has 112 divisors (see below), whose sum is σ = 248876100. Its totient is φ = 28553472.

The previous prime is 87089243. The next prime is 87089257. The reversal of 87089256 is 65298078.

It can be written as a sum of positive squares in 2 ways, for example, as 85266756 + 1822500 = 9234^2 + 1350^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87089257) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 635620 + ... + 635756.

Almost surely, 287089256 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 87089256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124438050).

87089256 is an abundant number, since it is smaller than the sum of its proper divisors (161786844).

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

87089256 is a wasteful number, since it uses less digits than its factorization.

87089256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 87089256 is about 9332.1624503649. The cubic root of 87089256 is about 443.2562420209.

The spelling of 87089256 in words is "eighty-seven million, eighty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 137 162 216 218 243 274 324 327 411 436 486 548 648 654 729 822 872 972 981 1096 1233 1308 1458 1644 1944 1962 2466 2616 2916 2943 3288 3699 3924 4932 5832 5886 7398 7848 8829 9864 11097 11772 14796 14933 17658 22194 23544 26487 29592 29866 33291 35316 44388 44799 52974 59732 66582 70632 79461 88776 89598 99873 105948 119464 133164 134397 158922 179196 199746 211896 266328 268794 317844 358392 399492 403191 537588 635688 798984 806382 1075176 1209573 1612764 2419146 3225528 3628719 4838292 7257438 9676584 10886157 14514876 21772314 29029752 43544628 87089256