Search a number
-
+
382207239432 = 2332728592
BaseRepresentation
bin1011000111111010101…
…00111010010100001000
31100112112200100111000200
411203331110322110020
522230230023130212
6451330015332200
736420310634334
oct5437524722410
91315480314020
10382207239432
11138103027aa7
12620a8521060
132a07132b255
14146db0c07c4
159e1e8296dc
hex58fd53a508

382207239432 has 36 divisors (see below), whose sum is σ = 1035158814495. Its totient is φ = 127400664528.

The previous prime is 382207239371. The next prime is 382207239437. The reversal of 382207239432 is 234932702283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

382207239432 is a `hidden beast` number, since 3 + 8 + 2 + 207 + 2 + 3 + 9 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191103619716 + 191103619716 = 437154^2 + 437154^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=437154.

It is not an unprimeable number, because it can be changed into a prime (382207239437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5209419 + ... + 5282277.

Almost surely, 2382207239432 is an apocalyptic number.

It is an amenable number.

382207239432 is an abundant number, since it is smaller than the sum of its proper divisors (652951575063).

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

382207239432 is an frugal number, since it uses more digits than its factorization.

382207239432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145730 (or 72864 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 382207239432 in words is "three hundred eighty-two billion, two hundred seven million, two hundred thirty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 72859 145718 218577 291436 437154 582872 655731 874308 1311462 1748616 2622924 5245848 5308433881 10616867762 15925301643 21233735524 31850603286 42467471048 47775904929 63701206572 95551809858 127402413144 191103619716 382207239432