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474264 = 23327941
BaseRepresentation
bin1110011110010011000
3220002120100
41303302120
5110134024
614055400
74013460
oct1636230
9802510
10474264
112a435a
121aa560
13137b3b
14c4ba0
15957c9
hex73c98

474264 has 48 divisors (see below), whose sum is σ = 1469520. Its totient is φ = 135360.

The previous prime is 474263. The next prime is 474289. The reversal of 474264 is 462474.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (30615).

2474264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734760).

474264 is an abundant number, since it is smaller than the sum of its proper divisors (995256).

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

474264 is a wasteful number, since it uses less digits than its factorization.

474264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 474264 is about 688.6682800885. The cubic root of 474264 is about 77.9842177142.

The spelling of 474264 in words is "four hundred seventy-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 941 1882 2823 3764 5646 6587 7528 8469 11292 13174 16938 19761 22584 26348 33876 39522 52696 59283 67752 79044 118566 158088 237132 474264