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90093393 = 3213259233
BaseRepresentation
bin1010101111010…
…11011101010001
320021112012220100
411113223131101
5141030442033
612535003013
72142531645
oct527533521
9207465810
1090093393
1146945555
1226209469
1315885600
14bd72c25
157d99513
hex55eb751

90093393 has 18 divisors (see below), whose sum is σ = 140917686. Its totient is φ = 55441152.

The previous prime is 90093389. The next prime is 90093397. The reversal of 90093393 is 39339009.

It is an interprime number because it is at equal distance from previous prime (90093389) and next prime (90093397).

It can be written as a sum of positive squares in 3 ways, for example, as 2259009 + 87834384 = 1503^2 + 9372^2 .

It is not a de Polignac number, because 90093393 - 22 = 90093389 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90093397) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28096 + ... + 31137.

Almost surely, 290093393 is an apocalyptic number.

It is an amenable number.

90093393 is a deficient number, since it is larger than the sum of its proper divisors (50824293).

90093393 is a wasteful number, since it uses less digits than its factorization.

90093393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59265 (or 59249 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 36.

The square root of 90093393 is about 9491.7539475062. The cubic root of 90093393 is about 448.2954328582.

The spelling of 90093393 in words is "ninety million, ninety-three thousand, three hundred ninety-three".

Divisors: 1 3 9 13 39 117 169 507 1521 59233 177699 533097 770029 2310087 6930261 10010377 30031131 90093393