Search a number
-
+
27131808 = 2531125693
BaseRepresentation
bin110011101111…
…1111110100000
31220001102211210
41213133332200
523421204213
62405310120
7446421324
oct147377640
956042753
1027131808
1114351590
129105340
13580c632
143863984
1525ae0c3
hex19dffa0

27131808 has 48 divisors (see below), whose sum is σ = 77698656. Its totient is φ = 8221440.

The previous prime is 27131807. The next prime is 27131809. The reversal of 27131808 is 80813172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27131807) and next prime (27131809).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×271318082 = 1472270010697728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27131801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11791 + ... + 13902.

It is an arithmetic number, because the mean of its divisors is an integer number (1618722).

Almost surely, 227131808 is an apocalyptic number.

It is an amenable number.

27131808 is an abundant number, since it is smaller than the sum of its proper divisors (50566848).

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

27131808 is a wasteful number, since it uses less digits than its factorization.

27131808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25717 (or 25709 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 27131808 is about 5208.8202119098. The cubic root of 27131808 is about 300.4873855335.

The spelling of 27131808 in words is "twenty-seven million, one hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 25693 51386 77079 102772 154158 205544 282623 308316 411088 565246 616632 822176 847869 1130492 1233264 1695738 2260984 2466528 3391476 4521968 6782952 9043936 13565904 27131808