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90008253 = 341111213
BaseRepresentation
bin1010101110101…
…10101010111101
320021100220010000
411113112222331
5141020231003
612533104513
72142025506
oct527265275
9207326100
1090008253
1146897595
1226188139
131585592a
14bd4dbad
157d7e1a3
hex55d6abd

90008253 has 10 divisors (see below), whose sum is σ = 134456894. Its totient is φ = 60005448.

The previous prime is 90008249. The next prime is 90008287. The reversal of 90008253 is 35280009.

It can be written as a sum of positive squares in only one way, i.e., 74183769 + 15824484 = 8613^2 + 3978^2 .

It is not a de Polignac number, because 90008253 - 22 = 90008249 is a prime.

It is a super-2 number, since 2×900082532 = 16202971216224018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90008203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 555526 + ... + 555687.

Almost surely, 290008253 is an apocalyptic number.

It is an amenable number.

90008253 is a deficient number, since it is larger than the sum of its proper divisors (44448641).

90008253 is a wasteful number, since it uses less digits than its factorization.

90008253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111225 (or 1111216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90008253 is about 9487.2679418260. The cubic root of 90008253 is about 448.1541723975.

The spelling of 90008253 in words is "ninety million, eight thousand, two hundred fifty-three".

Divisors: 1 3 9 27 81 1111213 3333639 10000917 30002751 90008253