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464232 = 23323292
BaseRepresentation
bin1110001010101101000
3212120210210
41301111220
5104323412
613541120
73642306
oct1612550
9776723
10464232
1129786a
121a47a0
131333c2
14c1276
159283c
hex71568

464232 has 48 divisors (see below), whose sum is σ = 1254240. Its totient is φ = 142912.

The previous prime is 464213. The next prime is 464237. The reversal of 464232 is 232464.

It is a super-2 number, since 2×4642322 = 431022699648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 464199 and 464208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464237) by changing a digit.

464232 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, 15994 + ... + 16022.

It is an arithmetic number, because the mean of its divisors is an integer number (26130).

2464232 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 464232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627120).

464232 is an abundant number, since it is smaller than the sum of its proper divisors (790008).

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

464232 is a wasteful number, since it uses less digits than its factorization.

464232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 464232 is about 681.3457272193. The cubic root of 464232 is about 77.4304335848.

Adding to 464232 its reverse (232464), we get a palindrome (696696).

It can be divided in two parts, 464 and 232, that added together give a palindrome (696).

The spelling of 464232 in words is "four hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 841 1334 1682 2001 2523 2668 3364 4002 5046 5336 6728 8004 10092 16008 19343 20184 38686 58029 77372 116058 154744 232116 464232