Search a number
-
+
555972480 = 27325713789
BaseRepresentation
bin100001001000110…
…111011110000000
31102202011022212100
4201020313132000
52114312104410
6131100230400
716530455010
oct4110673600
91382138770
10555972480
11265917398
1213623b400
138b251acb
1453ba5c40
1533c228c0
hex21237780

555972480 has 192 divisors, whose sum is σ = 2194264800. Its totient is φ = 127070208.

The previous prime is 555972463. The next prime is 555972493. The reversal of 555972480 is 84279555.

555972480 is a `hidden beast` number, since 55 + 59 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33426 + ... + 47214.

Almost surely, 2555972480 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 555972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097132400).

555972480 is an abundant number, since it is smaller than the sum of its proper divisors (1638292320).

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

555972480 is a wasteful number, since it uses less digits than its factorization.

555972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 555972480 is about 23579.0686838984. The cubic root of 555972480 is about 822.2762848417.

The spelling of 555972480 in words is "five hundred fifty-five million, nine hundred seventy-two thousand, four hundred eighty".