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472122 = 23371249
BaseRepresentation
bin1110011010000111010
3212222122000
41303100322
5110101442
614041430
74004310
oct1632072
9788560
10472122
112a2792
121a9276
13136b81
14c40b0
1594d4c
hex7343a

472122 has 32 divisors (see below), whose sum is σ = 1200000. Its totient is φ = 134784.

The previous prime is 472111. The next prime is 472123. The reversal of 472122 is 221274.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 472095 and 472104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472122.

It is not an unprimeable number, because it can be changed into a prime (472123) by changing a digit.

472122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (37500).

2472122 is an apocalyptic number.

472122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

472122 is an abundant number, since it is smaller than the sum of its proper divisors (727878).

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

472122 is a wasteful number, since it uses less digits than its factorization.

472122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 472122 is about 687.1113446888. Note that the first 3 decimals coincide. The cubic root of 472122 is about 77.8666360102.

Adding to 472122 its reverse (221274), we get a palindrome (693396).

The spelling of 472122 in words is "four hundred seventy-two thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1249 2498 3747 7494 8743 11241 17486 22482 26229 33723 52458 67446 78687 157374 236061 472122