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464412 = 223132229
BaseRepresentation
bin1110001011000011100
3212121001110
41301120130
5104330122
613542020
73642654
oct1613034
9777043
10464412
11297a13
121a4910
13133500
14c1364
159290c
hex7161c

464412 has 36 divisors (see below), whose sum is σ = 1178520. Its totient is φ = 142272.

The previous prime is 464383. The next prime is 464413. The reversal of 464412 is 214464.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464413) 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, 1914 + ... + 2142.

2464412 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 464412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589260).

464412 is an abundant number, since it is smaller than the sum of its proper divisors (714108).

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

464412 is a wasteful number, since it uses less digits than its factorization.

464412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 464412 is about 681.4778059482. The cubic root of 464412 is about 77.4404398439.

Adding to 464412 its reverse (214464), we get a palindrome (678876).

It can be divided in two parts, 4644 and 12, that added together give a triangular number (4656 = T96).

The spelling of 464412 in words is "four hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 229 338 458 507 676 687 916 1014 1374 2028 2748 2977 5954 8931 11908 17862 35724 38701 77402 116103 154804 232206 464412