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472023 = 32179293
BaseRepresentation
bin1110011001111010111
3212222111100
41303033113
5110101043
614041143
74004106
oct1631727
9788440
10472023
112a2702
121a91b3
13136b06
14c403d
1594cd3
hex733d7

472023 has 12 divisors (see below), whose sum is σ = 687960. Its totient is φ = 311856.

The previous prime is 472019. The next prime is 472027. The reversal of 472023 is 320274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (472019) and next prime (472027).

It is not a de Polignac number, because 472023 - 22 = 472019 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 471987 and 472005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1465 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2472023 is an apocalyptic number.

472023 is a deficient number, since it is larger than the sum of its proper divisors (215937).

472023 is a wasteful number, since it uses less digits than its factorization.

472023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 472023 is about 687.0393001860. The cubic root of 472023 is about 77.8611929709.

Adding to 472023 its reverse (320274), we get a palindrome (792297).

It can be divided in two parts, 4 and 72023, that added together give a palindrome (72027).

The spelling of 472023 in words is "four hundred seventy-two thousand, twenty-three", and thus it is an iban number.

Divisors: 1 3 9 179 293 537 879 1611 2637 52447 157341 472023