Search a number
-
+
4676742 = 232737117
BaseRepresentation
bin10001110101110010000110
322210121021200
4101311302012
52144123432
6244123330
754515550
oct21656206
98717250
104676742
112704784
121696546
13c79905
1489a4d0
15625a7c
hex475c86

4676742 has 24 divisors (see below), whose sum is σ = 11580816. Its totient is φ = 1336176.

The previous prime is 4676741. The next prime is 4676759. The reversal of 4676742 is 2476764.

It is a junction number, because it is equal to n+sod(n) for n = 4676697 and 4676706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676741) 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 in 11 ways as a sum of consecutive naturals, for example, 18433 + ... + 18684.

It is an arithmetic number, because the mean of its divisors is an integer number (482534).

Almost surely, 24676742 is an apocalyptic number.

4676742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4676742 is an abundant number, since it is smaller than the sum of its proper divisors (6904074).

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

4676742 is a wasteful number, since it uses less digits than its factorization.

4676742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37132 (or 37129 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4676742 is about 2162.5776286645. The cubic root of 4676742 is about 167.2301081667.

The spelling of 4676742 in words is "four million, six hundred seventy-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 37117 74234 111351 222702 259819 334053 519638 668106 779457 1558914 2338371 4676742