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87268881 = 3719218719
BaseRepresentation
bin1010011001110…
…01111000010001
320002012201101210
411030321320101
5134320101011
612354250333
72106526140
oct514717021
9202181353
1087268881
1145296447
12252869a9
1315106abb
14b839757
1579dc6a6
hex5339e11

87268881 has 16 divisors (see below), whose sum is σ = 139980800. Its totient is φ = 47243088.

The previous prime is 87268817. The next prime is 87268889. The reversal of 87268881 is 18886278.

It is not a de Polignac number, because 87268881 - 26 = 87268817 is a prime.

It is a super-2 number, since 2×872688812 = 15231715181984322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87268881.

It is not an unprimeable number, because it can be changed into a prime (87268889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108961 + ... + 109758.

It is an arithmetic number, because the mean of its divisors is an integer number (8748800).

Almost surely, 287268881 is an apocalyptic number.

It is an amenable number.

87268881 is a deficient number, since it is larger than the sum of its proper divisors (52711919).

87268881 is a wasteful number, since it uses less digits than its factorization.

87268881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218748.

The product of its digits is 344064, while the sum is 48.

The square root of 87268881 is about 9341.7814682211. The cubic root of 87268881 is about 443.5607771957.

The spelling of 87268881 in words is "eighty-seven million, two hundred sixty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 7 19 21 57 133 399 218719 656157 1531033 4155661 4593099 12466983 29089627 87268881