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87168256 = 28726949
BaseRepresentation
bin1010011001000…
…01010100000000
320002000121100221
411030201110000
5134303341011
612352152424
72105626600
oct514412400
9202017327
1087168256
114522788a
1225238714
13150a0066
14b810c00
1579bc971
hex5321500

87168256 has 54 divisors (see below), whose sum is σ = 202432650. Its totient is φ = 37352448.

The previous prime is 87168253. The next prime is 87168259. The reversal of 87168256 is 65286178.

It is an interprime number because it is at equal distance from previous prime (87168253) and next prime (87168259).

It can be written as a sum of positive squares in only one way, i.e., 84345856 + 2822400 = 9184^2 + 1680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87168251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9070 + ... + 16018.

Almost surely, 287168256 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 87168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101216325).

87168256 is an abundant number, since it is smaller than the sum of its proper divisors (115264394).

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

87168256 is an equidigital number, since it uses as much as digits as its factorization.

87168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6958 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 87168256 is about 9336.3941647726. The cubic root of 87168256 is about 443.3902296937.

The spelling of 87168256 in words is "eighty-seven million, one hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 6949 12544 13898 27796 48643 55592 97286 111184 194572 222368 340501 389144 444736 681002 778288 889472 1362004 1556576 1778944 2724008 3113152 5448016 6226304 10896032 12452608 21792064 43584128 87168256