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90048417 = 3372812887
BaseRepresentation
bin1010101111000…
…00011110100001
320021102221012120
411113200132201
5141023022132
612534014453
72142253554
oct527403641
9207387176
1090048417
1146914788
12261a7429
131586acb4
14bd6069b
157d8b02c
hex55e07a1

90048417 has 16 divisors (see below), whose sum is σ = 123791232. Its totient is φ = 58181760.

The previous prime is 90048367. The next prime is 90048421. The reversal of 90048417 is 71484009.

It is not a de Polignac number, because 90048417 - 215 = 90015649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90048437) 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, 29748 + ... + 32634.

It is an arithmetic number, because the mean of its divisors is an integer number (7736952).

Almost surely, 290048417 is an apocalyptic number.

It is an amenable number.

90048417 is a deficient number, since it is larger than the sum of its proper divisors (33742815).

90048417 is a wasteful number, since it uses less digits than its factorization.

90048417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 90048417 is about 9489.3844373595. The cubic root of 90048417 is about 448.2208217952.

The spelling of 90048417 in words is "ninety million, forty-eight thousand, four hundred seventeen".

Divisors: 1 3 37 111 281 843 2887 8661 10397 31191 106819 320457 811247 2433741 30016139 90048417