Search a number
-
+
972949264 = 24719457213
BaseRepresentation
bin111001111111100…
…000011100010000
32111210202221110221
4321333200130100
53443033334024
6240313402424
733052634530
oct7177403420
92453687427
10972949264
1145a228201
12231a09414
13126758731
14933094c0
155a63b3e4
hex39fe0710

972949264 has 40 divisors (see below), whose sum is σ = 2267781440. Its totient is φ = 395031168.

The previous prime is 972949247. The next prime is 972949279. The reversal of 972949264 is 462949279.

It is a happy number.

972949264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226479 + ... + 230734.

It is an arithmetic number, because the mean of its divisors is an integer number (56694536).

Almost surely, 2972949264 is an apocalyptic number.

It is an amenable number.

972949264 is an abundant number, since it is smaller than the sum of its proper divisors (1294832176).

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

972949264 is a wasteful number, since it uses less digits than its factorization.

972949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457247 (or 457241 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The square root of 972949264 is about 31192.1346496196. The cubic root of 972949264 is about 990.9005389544.

The spelling of 972949264 in words is "nine hundred seventy-two million, nine hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 457213 914426 1828852 3200491 3657704 6400982 7315408 8687047 12801964 17374094 25603928 34748188 51207856 60809329 69496376 121618658 138992752 243237316 486474632 972949264