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472683645 = 325724632
BaseRepresentation
bin11100001011001…
…001010001111101
31012221102211001200
4130023021101331
51432001334040
6114523130113
714466513300
oct3413112175
91187384050
10472683645
112228aa245
12112373939
1376c0c785
1446ac4b37
152b76e630
hex1c2c947d

472683645 has 54 divisors (see below), whose sum is σ = 955147518. Its totient is φ = 215617248.

The previous prime is 472683643. The next prime is 472683667. The reversal of 472683645 is 546386274.

It can be written as a sum of positive squares in only one way, i.e., 378146916 + 94536729 = 19446^2 + 9723^2 .

It is not a de Polignac number, because 472683645 - 21 = 472683643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 472683645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472683643) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1020684 + ... + 1021146.

It is an arithmetic number, because the mean of its divisors is an integer number (17687917).

Almost surely, 2472683645 is an apocalyptic number.

472683645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472683645 is an abundant number, since it is smaller than the sum of its proper divisors (482463873).

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

472683645 is an equidigital number, since it uses as much as digits as its factorization.

472683645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 478 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 472683645 is about 21741.2889452305. The cubic root of 472683645 is about 778.9750096761.

Multiplying 472683645 by its sum of digits (45), we get a square (21270764025 = 1458452).

472683645 divided by its sum of digits (45) gives a square (10504081 = 32412).

The spelling of 472683645 in words is "four hundred seventy-two million, six hundred eighty-three thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 463 735 1389 2205 2315 3241 4167 6945 9723 16205 20835 22687 29169 48615 68061 113435 145845 204183 214369 340305 643107 1020915 1071845 1500583 1929321 3215535 4501749 7502915 9646605 10504081 13505247 22508745 31512243 52520405 67526235 94536729 157561215 472683645