Search a number
-
+
608972640 = 253517372017
BaseRepresentation
bin100100010011000…
…010111101100000
31120102220000102020
4210103002331200
52221344111030
6140232221440
721043116303
oct4423027540
91512800366
10608972640
11292827181
1214bb3a880
139921a953
145ac40b3a
15386e1510
hex244c2f60

608972640 has 192 divisors, whose sum is σ = 2087031744. Its totient is φ = 148635648.

The previous prime is 608972627. The next prime is 608972669. The reversal of 608972640 is 46279806.

It is a junction number, because it is equal to n+sod(n) for n = 608972592 and 608972601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300912 + ... + 302928.

It is an arithmetic number, because the mean of its divisors is an integer number (10869957).

Almost surely, 2608972640 is an apocalyptic number.

608972640 is a gapful number since it is divisible by the number (60) 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 608972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043515872).

608972640 is an abundant number, since it is smaller than the sum of its proper divisors (1478059104).

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

608972640 is a wasteful number, since it uses less digits than its factorization.

608972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 608972640 is about 24677.3710107053. The cubic root of 608972640 is about 847.6162230424.

The spelling of 608972640 in words is "six hundred eight million, nine hundred seventy-two thousand, six hundred forty".