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642090432 = 26327712073
BaseRepresentation
bin100110010001011…
…000010111000000
31122202012120111010
4212101120113000
52303333343212
6143414120520
721624451524
oct4621302700
91582176433
10642090432
112aa497055
1215b050140
13a3044a89
14613c1d84
153b58403c
hex264585c0

642090432 has 56 divisors (see below), whose sum is σ = 1705138576. Its totient is φ = 213239808.

The previous prime is 642090403. The next prime is 642090443. The reversal of 642090432 is 234090246.

It is a self number, because there is not a number n which added to its sum of digits gives 642090432.

It is a congruent number.

It is an unprimeable number.

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, 47148 + ... + 59220.

Almost surely, 2642090432 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 642090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852569288).

642090432 is an abundant number, since it is smaller than the sum of its proper divisors (1063048144).

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

642090432 is a wasteful number, since it uses less digits than its factorization.

642090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12365 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 642090432 is about 25339.5033889775. The cubic root of 642090432 is about 862.7111269750.

The spelling of 642090432 in words is "six hundred forty-two million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1662 2216 3324 4432 6648 8864 12073 13296 17728 24146 26592 36219 48292 53184 72438 96584 144876 193168 289752 386336 579504 772672 1159008 2318016 3344221 6688442 10032663 13376884 20065326 26753768 40130652 53507536 80261304 107015072 160522608 214030144 321045216 642090432