Search a number
-
+
974472912 = 2432717194173
BaseRepresentation
bin111010000101010…
…100011011010000
32111220122100112100
4322011110123100
53443431113122
6240410200400
733101611620
oct7205243320
92456570470
10974472912
11460078a16
12232423100
13126b700ba
14935c4880
155a83caac
hex3a1546d0

974472912 has 480 divisors, whose sum is σ = 3607269120. Its totient is φ = 238878720.

The previous prime is 974472887. The next prime is 974472943. The reversal of 974472912 is 219274479.

It is a happy number.

974472912 is a `hidden beast` number, since 97 + 4 + 472 + 91 + 2 = 666.

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 nude number because it is divisible by every one of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13348908 + ... + 13348980.

It is an arithmetic number, because the mean of its divisors is an integer number (7515144).

Almost surely, 2974472912 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 974472912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803634560).

974472912 is an abundant number, since it is smaller than the sum of its proper divisors (2632796208).

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

974472912 is a wasteful number, since it uses less digits than its factorization.

974472912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 974472912 is about 31216.5486881558. The cubic root of 974472912 is about 991.4175224715.

The spelling of 974472912 in words is "nine hundred seventy-four million, four hundred seventy-two thousand, nine hundred twelve".