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472050 = 232521049
BaseRepresentation
bin1110011001111110010
3212222112100
41303033302
5110101200
614041230
74004145
oct1631762
9788470
10472050
112a2727
121a9216
13136b27
14c405c
1594d00
hex733f2

472050 has 36 divisors (see below), whose sum is σ = 1269450. Its totient is φ = 125760.

The previous prime is 472027. The next prime is 472051. The reversal of 472050 is 50274.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 431649 + 40401 = 657^2 + 201^2 .

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

It is not an unprimeable number, because it can be changed into a prime (472051) by changing a digit.

472050 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 17 ways as a sum of consecutive naturals, for example, 75 + ... + 974.

2472050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634725).

472050 is an abundant number, since it is smaller than the sum of its proper divisors (797400).

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

472050 is a wasteful number, since it uses less digits than its factorization.

472050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 472050 is about 687.0589494359. The cubic root of 472050 is about 77.8626775116.

The spelling of 472050 in words is "four hundred seventy-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1049 2098 3147 5245 6294 9441 10490 15735 18882 26225 31470 47205 52450 78675 94410 157350 236025 472050