Search a number
-
+
4972064 = 25155377
BaseRepresentation
bin10010111101111000100000
3100100121101112
4102331320200
52233101224
6254322452
760155546
oct22757040
910317345
104972064
112896649
1217b9428
131051166
14935d96
1568330e
hex4bde20

4972064 has 12 divisors (see below), whose sum is σ = 9788814. Its totient is φ = 2486016.

The previous prime is 4972063. The next prime is 4972067. The reversal of 4972064 is 4602794.

It can be written as a sum of positive squares in only one way, i.e., 3579664 + 1392400 = 1892^2 + 1180^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 155377 = 4972064 / (4 + 9 + 7 + 2 + 0 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 4972064.

It is not an unprimeable number, because it can be changed into a prime (4972061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 77657 + ... + 77720.

Almost surely, 24972064 is an apocalyptic number.

It is an amenable number.

4972064 is a deficient number, since it is larger than the sum of its proper divisors (4816750).

4972064 is a wasteful number, since it uses less digits than its factorization.

4972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155387 (or 155379 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4972064 is about 2229.8125481753. The cubic root of 4972064 is about 170.6785337885.

The spelling of 4972064 in words is "four million, nine hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 155377 310754 621508 1243016 2486032 4972064