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88082127 = 337466043
BaseRepresentation
bin1010100000000…
…00011011001111
320010202000222000
411100000123033
5140022112002
612423523343
72116454130
oct520003317
9203660860
1088082127
11457a1451
12255b9553
1315330003
14b9abc87
157aed61c
hex54006cf

88082127 has 16 divisors (see below), whose sum is σ = 149134080. Its totient is φ = 50332536.

The previous prime is 88082107. The next prime is 88082147. The reversal of 88082127 is 72128088.

It is an interprime number because it is at equal distance from previous prime (88082107) and next prime (88082147).

It is not a de Polignac number, because 88082127 - 28 = 88081871 is a prime.

It is a super-2 number, since 2×880821272 = 15516922193688258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 88082091 and 88082100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88082107) 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, 232833 + ... + 233210.

It is an arithmetic number, because the mean of its divisors is an integer number (9320880).

Almost surely, 288082127 is an apocalyptic number.

88082127 is a deficient number, since it is larger than the sum of its proper divisors (61051953).

88082127 is a wasteful number, since it uses less digits than its factorization.

88082127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466059 (or 466053 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 88082127 is about 9385.2078826204. The cubic root of 88082127 is about 444.9343454037.

It can be divided in two parts, 88082 and 127, that added together give a square (88209 = 2972).

The spelling of 88082127 in words is "eighty-eight million, eighty-two thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 189 466043 1398129 3262301 4194387 9786903 12583161 29360709 88082127