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38880090 = 2325432001
BaseRepresentation
bin1001010001010…
…0001101011010
32201011022110100
42110110031122
534423130330
63505200230
7651322014
oct224241532
981138410
1038880090
111aa46207
1211030076
138093b92
1452411b4
153630060
hex251435a

38880090 has 24 divisors (see below), whose sum is σ = 101088468. Its totient is φ = 10368000.

The previous prime is 38880089. The next prime is 38880091. The reversal of 38880090 is 9008883.

It is an interprime number because it is at equal distance from previous prime (38880089) and next prime (38880091).

It can be written as a sum of positive squares in 2 ways, for example, as 32114889 + 6765201 = 5667^2 + 2601^2 .

It is a super-2 number, since 2×388800902 = 3023322796816200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38880091) 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 11 ways as a sum of consecutive naturals, for example, 215911 + ... + 216090.

Almost surely, 238880090 is an apocalyptic number.

38880090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38880090 is an abundant number, since it is smaller than the sum of its proper divisors (62208378).

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

38880090 is a wasteful number, since it uses less digits than its factorization.

38880090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432014 (or 432011 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 38880090 is about 6235.3901241221. The cubic root of 38880090 is about 338.7732317959.

The spelling of 38880090 in words is "thirty-eight million, eight hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 432001 864002 1296003 2160005 2592006 3888009 4320010 6480015 7776018 12960030 19440045 38880090