Search a number
-
+
472956 = 223113583
BaseRepresentation
bin1110011011101111100
3220000202220
41303131330
5110113311
614045340
74006611
oct1633574
9800686
10472956
112a3380
121a9850
13137373
14c4508
1595206
hex7377c

472956 has 24 divisors (see below), whose sum is σ = 1204224. Its totient is φ = 143280.

The previous prime is 472939. The next prime is 472963. The reversal of 472956 is 659274.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472956.

It is an unprimeable number.

472956 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1660 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (50176).

2472956 is an apocalyptic number.

It is an amenable number.

472956 is an abundant number, since it is smaller than the sum of its proper divisors (731268).

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

472956 is a wasteful number, since it uses less digits than its factorization.

472956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3599 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 472956 is about 687.7179654480. The cubic root of 472956 is about 77.9124593163.

It can be divided in two parts, 47 and 2956, that added together give a palindrome (3003).

The spelling of 472956 in words is "four hundred seventy-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3583 7166 10749 14332 21498 39413 42996 78826 118239 157652 236478 472956