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472332 = 22375623
BaseRepresentation
bin1110011010100001100
3212222220210
41303110030
5110103312
614042420
74005030
oct1632414
9788823
10472332
112a2963
121a9410
13136cb3
14c41c0
1594e3c
hex7350c

472332 has 24 divisors (see below), whose sum is σ = 1259776. Its totient is φ = 134928.

The previous prime is 472331. The next prime is 472333. The reversal of 472332 is 233274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (472331) and next prime (472333).

It is a super-3 number, since 3×4723323 = 316128290933335104, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 472299 and 472308.

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 472332.

It is not an unprimeable number, because it can be changed into a prime (472331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2728 + ... + 2895.

2472332 is an apocalyptic number.

472332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

472332 is an abundant number, since it is smaller than the sum of its proper divisors (787444).

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

472332 is a wasteful number, since it uses less digits than its factorization.

472332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637 (or 5635 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 472332 is about 687.2641413605. The cubic root of 472332 is about 77.8781793329.

The spelling of 472332 in words is "four hundred seventy-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5623 11246 16869 22492 33738 39361 67476 78722 118083 157444 236166 472332