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464112 = 243211293
BaseRepresentation
bin1110001010011110000
3212120122100
41301103300
5104322422
613540400
73642045
oct1612360
9776570
10464112
11297770
121a4700
1313332c
14c11cc
15927ac
hex714f0

464112 has 60 divisors (see below), whose sum is σ = 1421784. Its totient is φ = 140160.

The previous prime is 464089. The next prime is 464119. The reversal of 464112 is 211464.

Adding to 464112 its reverse (211464), we get a palindrome (675576).

It can be divided in two parts, 464 and 112, that added together give a square (576 = 242).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464112.

It is not an unprimeable number, because it can be changed into a prime (464119) by changing a digit.

464112 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, 1438 + ... + 1730.

2464112 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 464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710892).

464112 is an abundant number, since it is smaller than the sum of its proper divisors (957672).

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

464112 is a wasteful number, since it uses less digits than its factorization.

464112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 464112 is about 681.2576605074. The cubic root of 464112 is about 77.4237613083.

The spelling of 464112 in words is "four hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 293 396 528 586 792 879 1172 1584 1758 2344 2637 3223 3516 4688 5274 6446 7032 9669 10548 12892 14064 19338 21096 25784 29007 38676 42192 51568 58014 77352 116028 154704 232056 464112