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473144 = 23721771
BaseRepresentation
bin1110011100000111000
3220001000212
41303200320
5110120034
614050252
74010300
oct1634070
9801025
10473144
112a3531
121a9988
13137489
14c4600
15952ce
hex73838

473144 has 48 divisors (see below), whose sum is σ = 1108080. Its totient is φ = 188160.

The previous prime is 473141. The next prime is 473147. The reversal of 473144 is 441374.

It is an interprime number because it is at equal distance from previous prime (473141) and next prime (473147).

It is a zygodrome in base 2.

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 473144.

It is not an unprimeable number, because it can be changed into a prime (473141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6629 + ... + 6699.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2473144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554040).

473144 is an abundant number, since it is smaller than the sum of its proper divisors (634936).

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

473144 is a wasteful number, since it uses less digits than its factorization.

473144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 473144 is about 687.8546358061. The cubic root of 473144 is about 77.9227813491.

The spelling of 473144 in words is "four hundred seventy-three thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 71 98 119 136 142 196 238 284 392 476 497 568 833 952 994 1207 1666 1988 2414 3332 3479 3976 4828 6664 6958 8449 9656 13916 16898 27832 33796 59143 67592 118286 236572 473144