Search a number
-
+
90193008 = 24311871583
BaseRepresentation
bin1010110000000…
…11110001110000
320021201021112210
411120003301300
5141042134013
612541052120
72143425243
oct530036160
9207637483
1090193008
1146a03384
1226257040
13158bba59
14bd9b25a
157db8cc3
hex5603c70

90193008 has 40 divisors (see below), whose sum is σ = 233342208. Its totient is φ = 30020032.

The previous prime is 90193003. The next prime is 90193039. The reversal of 90193008 is 80039109.

It is a happy number.

It is a Cunningham number, because it is equal to 94972-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90193001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56185 + ... + 57767.

Almost surely, 290193008 is an apocalyptic number.

It is an amenable number.

90193008 is an abundant number, since it is smaller than the sum of its proper divisors (143149200).

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

90193008 is a wasteful number, since it uses less digits than its factorization.

90193008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 90193008 is about 9496.9999473518. Note that the first 4 decimals coincide. The cubic root of 90193008 is about 448.4605966559.

The spelling of 90193008 in words is "ninety million, one hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1187 1583 2374 3166 3561 4748 4749 6332 7122 9496 9498 12664 14244 18992 18996 25328 28488 37992 56976 75984 1879021 3758042 5637063 7516084 11274126 15032168 22548252 30064336 45096504 90193008