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12435444 = 223475483
BaseRepresentation
bin101111011011…
…111111110100
3212101210020000
4233123333310
511140413234
61122311300
7210461640
oct57337764
925353200
1012435444
117023a2a
1241b8530
132765268
141919c20
151159899
hexbdbff4

12435444 has 60 divisors (see below), whose sum is σ = 37159584. Its totient is φ = 3552336.

The previous prime is 12435431. The next prime is 12435463. The reversal of 12435444 is 44453421.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 474 + ... + 5009.

Almost surely, 212435444 is an apocalyptic number.

12435444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12435444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579792).

12435444 is an abundant number, since it is smaller than the sum of its proper divisors (24724140).

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

12435444 is a wasteful number, since it uses less digits than its factorization.

12435444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5495 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 12435444 is about 3526.3924909176. The cubic root of 12435444 is about 231.6792287123.

Adding to 12435444 its reverse (44453421), we get a palindrome (56888865).

The spelling of 12435444 in words is "twelve million, four hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5483 10966 16449 21932 32898 38381 49347 65796 76762 98694 115143 148041 153524 197388 230286 296082 345429 444123 460572 592164 690858 888246 1036287 1381716 1776492 2072574 3108861 4145148 6217722 12435444