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12542432 = 257219421
BaseRepresentation
bin101111110110…
…000111100000
3212121012222112
4233312013200
511202324212
61124454452
7211415600
oct57660740
925535875
1012542432
117097351
12424a428
1327a1b76
141946c00
15117b422
hexbf61e0

12542432 has 72 divisors (see below), whose sum is σ = 30308040. Its totient is φ = 5080320.

The previous prime is 12542423. The next prime is 12542437. The reversal of 12542432 is 23424521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12542398 and 12542407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542437) 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 11 ways as a sum of consecutive naturals, for example, 29582 + ... + 30002.

It is an arithmetic number, because the mean of its divisors is an integer number (420945).

Almost surely, 212542432 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 12542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154020).

12542432 is an abundant number, since it is smaller than the sum of its proper divisors (17765608).

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

12542432 is a wasteful number, since it uses less digits than its factorization.

12542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 12542432 is about 3541.5296130345. The cubic root of 12542432 is about 232.3417476296.

Adding to 12542432 its reverse (23424521), we get a palindrome (35966953).

The spelling of 12542432 in words is "twelve million, five hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 421 532 608 784 842 931 1064 1568 1684 1862 2128 2947 3368 3724 4256 5894 6736 7448 7999 11788 13472 14896 15998 20629 23576 29792 31996 41258 47152 55993 63992 82516 94304 111986 127984 165032 223972 255968 330064 391951 447944 660128 783902 895888 1567804 1791776 3135608 6271216 12542432