Search a number
-
+
2472948660 = 2235721389727
BaseRepresentation
bin1001001101100110…
…0011001110110100
320101100021210211010
42103121203032310
520031033324120
61045215512220
7115165500600
oct22331431664
96340253733
102472948660
111059a07a26
12590228670
1330544a640
1419660c500
15e71857e0
hex936633b4

2472948660 has 288 divisors, whose sum is σ = 8783873280. Its totient is φ = 515192832.

The previous prime is 2472948641. The next prime is 2472948671. The reversal of 2472948660 is 668492742.

2472948660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24729486602 = 12230950149991591200, which contains 22 as substring.

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, 3401217 + ... + 3401943.

It is an arithmetic number, because the mean of its divisors is an integer number (30499560).

Almost surely, 22472948660 is an apocalyptic number.

2472948660 is a gapful number since it is divisible by the number (20) 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 2472948660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391936640).

2472948660 is an abundant number, since it is smaller than the sum of its proper divisors (6310924620).

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

2472948660 is a wasteful number, since it uses less digits than its factorization.

2472948660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2472948660 is about 49728.7508389262. The cubic root of 2472948660 is about 1352.2958027477.

The spelling of 2472948660 in words is "two billion, four hundred seventy-two million, nine hundred forty-eight thousand, six hundred sixty".