Search a number
-
+
472914 = 232134347
BaseRepresentation
bin1110011011101010010
3220000201100
41303131102
5110113124
614045230
74006521
oct1633522
9800640
10472914
112a3342
121a9816
13137340
14c44b8
15951c9
hex73752

472914 has 48 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 139104.

The previous prime is 472909. The next prime is 472921. The reversal of 472914 is 419274.

It is a happy number.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472914.

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 23 ways as a sum of consecutive naturals, for example, 10039 + ... + 10085.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2472914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576).

472914 is an abundant number, since it is smaller than the sum of its proper divisors (680238).

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

472914 is a wasteful number, since it uses less digits than its factorization.

472914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 108 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 472914 is about 687.6874289966. The cubic root of 472914 is about 77.9101529565.

The spelling of 472914 in words is "four hundred seventy-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 43 47 78 86 94 117 129 141 234 258 282 387 423 559 611 774 846 1118 1222 1677 1833 2021 3354 3666 4042 5031 5499 6063 10062 10998 12126 18189 26273 36378 52546 78819 157638 236457 472914