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474032 = 24134353
BaseRepresentation
bin1110011101110110000
3220002020202
41303232300
5110132112
614054332
74013006
oct1635660
9802222
10474032
112a4169
121aa3a8
131379c0
14c4a76
15956c2
hex73bb0

474032 has 40 divisors (see below), whose sum is σ = 1031184. Its totient is φ = 209664.

The previous prime is 474029. The next prime is 474037. The reversal of 474032 is 230474.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 473995 and 474013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 474032.

It is not an unprimeable number, because it can be changed into a prime (474037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8918 + ... + 8970.

2474032 is an apocalyptic number.

It is a pronic number, being equal to 688×689.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592).

474032 is an abundant number, since it is smaller than the sum of its proper divisors (557152).

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

474032 is a wasteful number, since it uses less digits than its factorization.

474032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 474032 is about 688.4998184459. The cubic root of 474032 is about 77.9714995590.

The spelling of 474032 in words is "four hundred seventy-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 43 52 53 86 104 106 172 208 212 344 424 559 688 689 848 1118 1378 2236 2279 2756 4472 4558 5512 8944 9116 11024 18232 29627 36464 59254 118508 237016 474032