Search a number
-
+
4964724 = 2232137909
BaseRepresentation
bin10010111100000101110100
3100100020022200
4102330011310
52232332344
6254224500
760125262
oct22740564
910306280
104964724
112891086
1217b5130
13104aa0b
14933432
15681069
hex4bc174

4964724 has 18 divisors (see below), whose sum is σ = 12549810. Its totient is φ = 1654896.

The previous prime is 4964699. The next prime is 4964741. The reversal of 4964724 is 4274694.

4964724 is a `hidden beast` number, since 4 + 9 + 647 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3732624 + 1232100 = 1932^2 + 1110^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 137909 = 4964724 / (4 + 9 + 6 + 4 + 7 + 2 + 4).

It is a congruent number.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 68919 + ... + 68990.

Almost surely, 24964724 is an apocalyptic number.

It is an amenable number.

4964724 is an abundant number, since it is smaller than the sum of its proper divisors (7585086).

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

4964724 is a wasteful number, since it uses less digits than its factorization.

4964724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137919 (or 137914 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4964724 is about 2228.1660620340. The cubic root of 4964724 is about 170.5945044722.

The spelling of 4964724 in words is "four million, nine hundred sixty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137909 275818 413727 551636 827454 1241181 1654908 2482362 4964724