Search a number
-
+
457231890384 = 2432171923218583
BaseRepresentation
bin1101010011101010010…
…01001111011111010000
31121201012021110122012200
412221311021033133100
524442402330443014
6550014402123200
745014426641203
oct6516511173720
91551167418180
10457231890384
11166a02533765
1274746050500
1334169755839
14181b717393a
15bd61110a09
hex6a7524f7d0

457231890384 has 360 divisors, whose sum is σ = 1490980196160. Its totient is φ = 129980049408.

The previous prime is 457231890377. The next prime is 457231890397. The reversal of 457231890384 is 483098132754.

It is a happy number.

457231890384 is a `hidden beast` number, since 4 + 572 + 31 + 8 + 9 + 0 + 38 + 4 = 666.

It is a super-2 number, since 2×4572318903842 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457231890384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24595557 + ... + 24614139.

It is an arithmetic number, because the mean of its divisors is an integer number (4141611656).

Almost surely, 2457231890384 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 457231890384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745490098080).

457231890384 is an abundant number, since it is smaller than the sum of its proper divisors (1033748305776).

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

457231890384 is a wasteful number, since it uses less digits than its factorization.

457231890384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679 (or 18647 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 457231890384 in words is "four hundred fifty-seven billion, two hundred thirty-one million, eight hundred ninety thousand, three hundred eighty-four".