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442523432 = 2313103109379
BaseRepresentation
bin11010011000000…
…101111100101000
31010211200112000202
4122120011330220
51401241222212
6111524451332
713652246531
oct3230057450
91124615022
10442523432
1120787a44a
12104249b48
13708ac8b0
1442ab3688
1528cb30c2
hex1a605f28

442523432 has 64 divisors (see below), whose sum is σ = 912912000. Its totient is φ = 199874304.

The previous prime is 442523429. The next prime is 442523437. The reversal of 442523432 is 234325244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442523395 and 442523404.

It is not an unprimeable number, because it can be changed into a prime (442523437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167419 + ... + 1167797.

It is an arithmetic number, because the mean of its divisors is an integer number (14264250).

Almost surely, 2442523432 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 442523432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456456000).

442523432 is an abundant number, since it is smaller than the sum of its proper divisors (470388568).

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

442523432 is a wasteful number, since it uses less digits than its factorization.

442523432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its digits is 23040, while the sum is 29.

The square root of 442523432 is about 21036.2409189475. The cubic root of 442523432 is about 762.0417352790.

Adding to 442523432 its reverse (234325244), we get a palindrome (676848676).

The spelling of 442523432 in words is "four hundred forty-two million, five hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 103 104 109 206 218 379 412 436 758 824 872 1339 1417 1516 2678 2834 3032 4927 5356 5668 9854 10712 11227 11336 19708 22454 39037 39416 41311 44908 78074 82622 89816 145951 156148 165244 291902 312296 330488 507481 537043 583804 1014962 1074086 1167608 2029924 2148172 4059848 4255033 4296344 8510066 17020132 34040264 55315429 110630858 221261716 442523432