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470052 = 2232111187
BaseRepresentation
bin1110010110000100100
3212212210100
41302300210
5110020202
614024100
73665262
oct1626044
9785710
10470052
112a1180
121a8030
13135c4b
14c3432
159441c
hex72c24

470052 has 36 divisors (see below), whose sum is σ = 1297296. Its totient is φ = 142320.

The previous prime is 470039. The next prime is 470059. The reversal of 470052 is 250074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 (470059) by changing a digit.

470052 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 11 ways as a sum of consecutive naturals, for example, 198 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (36036).

2470052 is an apocalyptic number.

It is an amenable number.

470052 is an abundant number, since it is smaller than the sum of its proper divisors (827244).

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

470052 is a wasteful number, since it uses less digits than its factorization.

470052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1203 counting only the distinct ones).

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

The square root of 470052 is about 685.6033838890. The cubic root of 470052 is about 77.7526682362.

The spelling of 470052 in words is "four hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1187 2374 3561 4748 7122 10683 13057 14244 21366 26114 39171 42732 52228 78342 117513 156684 235026 470052