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90400293 = 341116053
BaseRepresentation
bin1010110001101…
…10011000100101
320022002210220000
411120312120211
5141120302133
612545331513
72145250464
oct530663045
9208083800
1090400293
1147035095
1226336b99
13159621c9
14c0129db
157e0a413
hex5636625

90400293 has 10 divisors (see below), whose sum is σ = 135042534. Its totient is φ = 60266808.

The previous prime is 90400267. The next prime is 90400307. The reversal of 90400293 is 39200409.

It can be written as a sum of positive squares in only one way, i.e., 50936769 + 39463524 = 7137^2 + 6282^2 .

It is not a de Polignac number, because 90400293 - 216 = 90334757 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90400243) 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 9 ways as a sum of consecutive naturals, for example, 557946 + ... + 558107.

Almost surely, 290400293 is an apocalyptic number.

It is an amenable number.

90400293 is a deficient number, since it is larger than the sum of its proper divisors (44642241).

90400293 is a wasteful number, since it uses less digits than its factorization.

90400293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116065 (or 1116056 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90400293 is about 9507.9068674446. The cubic root of 90400293 is about 448.8038901976.

The spelling of 90400293 in words is "ninety million, four hundred thousand, two hundred ninety-three".

Divisors: 1 3 9 27 81 1116053 3348159 10044477 30133431 90400293