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90494384 = 24291011931
BaseRepresentation
bin1010110010011…
…01010110110000
320022021120221212
411121031112300
5141131310014
612551335252
72146122011
oct531152660
9208246855
1090494384
1147099852
1226381528
1315995c96
14c039008
157e2823e
hex564d5b0

90494384 has 40 divisors (see below), whose sum is σ = 183269520. Its totient is φ = 43232000.

The previous prime is 90494381. The next prime is 90494387. The reversal of 90494384 is 48349409.

It is an interprime number because it is at equal distance from previous prime (90494381) and next prime (90494387).

It is not an unprimeable number, because it can be changed into a prime (90494381) 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 7 ways as a sum of consecutive naturals, for example, 45899 + ... + 47829.

It is an arithmetic number, because the mean of its divisors is an integer number (4581738).

Almost surely, 290494384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90494384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91634760).

90494384 is an abundant number, since it is smaller than the sum of its proper divisors (92775136).

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

90494384 is a wasteful number, since it uses less digits than its factorization.

90494384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 90494384 is about 9512.8536202340. The cubic root of 90494384 is about 448.9595451669.

The spelling of 90494384 in words is "ninety million, four hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 1931 2929 3862 5858 7724 11716 15448 23432 30896 46864 55999 111998 195031 223996 390062 447992 780124 895984 1560248 3120496 5655899 11311798 22623596 45247192 90494384