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472056732 = 2232712911451
BaseRepresentation
bin11100001000110…
…000001110011100
31012220020222002200
4130020300032130
51431321303412
6114501451500
714461262460
oct3410601634
91186228080
10472056732
11222511234
12112110b90
1376a50314
14469a04a0
152b6989dc
hex1c23039c

472056732 has 72 divisors (see below), whose sum is σ = 1365716352. Its totient is φ = 134676000.

The previous prime is 472056727. The next prime is 472056737. The reversal of 472056732 is 237650274.

It is a happy number.

472056732 is a `hidden beast` number, since 47 + 20 + 567 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (472056727) and next prime (472056737).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472056737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324607 + ... + 326057.

Almost surely, 2472056732 is an apocalyptic number.

472056732 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

472056732 is an abundant number, since it is smaller than the sum of its proper divisors (893659620).

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

472056732 is a wasteful number, since it uses less digits than its factorization.

472056732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 472056732 is about 21726.8665941502. The cubic root of 472056732 is about 778.6304764832.

The spelling of 472056732 in words is "four hundred seventy-two million, fifty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1291 1451 2582 2902 3873 4353 5164 5804 7746 8706 9037 10157 11619 13059 15492 17412 18074 20314 23238 26118 27111 30471 36148 40628 46476 52236 54222 60942 81333 91413 108444 121884 162666 182826 325332 365652 1873241 3746482 5619723 7492964 11239446 13112687 16859169 22478892 26225374 33718338 39338061 52450748 67436676 78676122 118014183 157352244 236028366 472056732