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474552 = 2333133
BaseRepresentation
bin1110011110110111000
3220002222000
41303312320
5110141202
614101000
74014351
oct1636670
9802860
10474552
112a45a1
121aa760
13138000
14c4d28
159591c
hex73db8

474552 has 64 divisors (see below), whose sum is σ = 1428000. Its totient is φ = 146016.

The previous prime is 474547. The next prime is 474557. The reversal of 474552 is 255474.

Multipling 474552 by its sum of digits (27), we get a cube (12812904 = 2343).

474552 divided by its sum of digits (27) gives a cube (17576 = 263).

The cubic root of 474552 is 78.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (474547) and next prime (474557).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36498 + ... + 36510.

474552 is a Friedman number, since it can be written as (74+4)^(5/5+2), using all its digits and the basic arithmetic operations.

2474552 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 474552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714000).

474552 is an abundant number, since it is smaller than the sum of its proper divisors (953448).

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

474552 is a wasteful number, since it uses less digits than its factorization.

474552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 474552 is about 688.8773475736.

The spelling of 474552 in words is "four hundred seventy-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2197 2808 3042 4056 4394 4563 6084 6591 8788 9126 12168 13182 17576 18252 19773 26364 36504 39546 52728 59319 79092 118638 158184 237276 474552