Search a number
-
+
492328106424 = 2333721129145819
BaseRepresentation
bin1110010101000010000…
…10101011100110111000
31202001210012012010202000
413022201002223212320
531031241443401144
61014101123541000
750366230566600
oct7124102534670
91661705163660
10492328106424
1117a882421290
127b4bb82a760
133757089688b
1419b86367c00
15cc17349769
hex72a10ab9b8

492328106424 has 384 divisors, whose sum is σ = 1795335840000. Its totient is φ = 123467016960.

The previous prime is 492328106411. The next prime is 492328106441. The reversal of 492328106424 is 424601823294.

492328106424 is a `hidden beast` number, since 4 + 92 + 32 + 8 + 106 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 492328106424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3303387 + ... + 3449205.

It is an arithmetic number, because the mean of its divisors is an integer number (4675353750).

Almost surely, 2492328106424 is an apocalyptic number.

492328106424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492328106424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897667920000).

492328106424 is an abundant number, since it is smaller than the sum of its proper divisors (1303007733576).

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

492328106424 is a wasteful number, since it uses less digits than its factorization.

492328106424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145888 (or 145871 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 492328106424 in words is "four hundred ninety-two billion, three hundred twenty-eight million, one hundred six thousand, four hundred twenty-four".