Search a number
-
+
508942980 = 2233571310357
BaseRepresentation
bin11110010101011…
…101101010000100
31022110122222112000
4132111131222010
52020242133410
6122300225300
715416641530
oct3625355204
91273588460
10508942980
11241315437
1212253b230
13815967c0
144b842bc0
152ea32dc0
hex1e55da84

508942980 has 192 divisors, whose sum is σ = 1948961280. Its totient is φ = 107371008.

The previous prime is 508942927. The next prime is 508943009. The reversal of 508942980 is 89249805.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43962 + ... + 54318.

It is an arithmetic number, because the mean of its divisors is an integer number (10150840).

Almost surely, 2508942980 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 508942980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974480640).

508942980 is an abundant number, since it is smaller than the sum of its proper divisors (1440018300).

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

508942980 is a wasteful number, since it uses less digits than its factorization.

508942980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 508942980 is about 22559.7646264317. The cubic root of 508942980 is about 798.4046226622.

The spelling of 508942980 in words is "five hundred eight million, nine hundred forty-two thousand, nine hundred eighty".