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472374 = 232723163
BaseRepresentation
bin1110011010100110110
3212222222100
41303110312
5110103444
614042530
74005120
oct1632466
9788870
10472374
112a29a1
121a9446
13137016
14c4210
1594e69
hex73536

472374 has 48 divisors (see below), whose sum is σ = 1228032. Its totient is φ = 128304.

The previous prime is 472369. The next prime is 472391. The reversal of 472374 is 473274.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

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 472374.

It is an unprimeable number.

472374 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2817 + ... + 2979.

It is an arithmetic number, because the mean of its divisors is an integer number (25584).

2472374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614016).

472374 is an abundant number, since it is smaller than the sum of its proper divisors (755658).

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

472374 is a wasteful number, since it uses less digits than its factorization.

472374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 198 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 472374 is about 687.2946966186. The cubic root of 472374 is about 77.8804875868.

Subtracting 472374 from its reverse (473274), we obtain a square (900 = 302).

The spelling of 472374 in words is "four hundred seventy-two thousand, three hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 163 207 322 326 414 483 489 966 978 1141 1449 1467 2282 2898 2934 3423 3749 6846 7498 10269 11247 20538 22494 26243 33741 52486 67482 78729 157458 236187 472374