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90088033 = 723619173
BaseRepresentation
bin1010101111010…
…10001001100001
320021111221112211
411113222021201
5141030304113
612534522121
72142510220
oct527521141
9207457484
1090088033
1146941522
1226206341
1315883039
14bd70cb7
157d97b3d
hex55ea261

90088033 has 16 divisors (see below), whose sum is σ = 109207296. Its totient is φ = 72642240.

The previous prime is 90088027. The next prime is 90088039. The reversal of 90088033 is 33088009.

It is an interprime number because it is at equal distance from previous prime (90088027) and next prime (90088039).

It is a cyclic number.

It is not a de Polignac number, because 90088033 - 217 = 89956961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90087986 and 90088004.

It is not an unprimeable number, because it can be changed into a prime (90088039) 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, 5235 + ... + 14407.

It is an arithmetic number, because the mean of its divisors is an integer number (6825456).

Almost surely, 290088033 is an apocalyptic number.

It is an amenable number.

90088033 is a deficient number, since it is larger than the sum of its proper divisors (19119263).

90088033 is a wasteful number, since it uses less digits than its factorization.

90088033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 90088033 is about 9491.4715929618. The cubic root of 90088033 is about 448.2865424128.

The spelling of 90088033 in words is "ninety million, eighty-eight thousand, thirty-three".

Divisors: 1 7 23 61 161 427 1403 9173 9821 64211 210979 559553 1476853 3916871 12869719 90088033