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42527412 = 22323153719
BaseRepresentation
bin1010001000111…
…0101010110100
32222000121122100
42202032222310
541341334122
64115302100
71024322424
oct242165264
988017570
1042527412
1122007524
12122aa930
138a70065
145910484
153b00aac
hex288eab4

42527412 has 72 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 13440960.

The previous prime is 42527389. The next prime is 42527413. The reversal of 42527412 is 21472524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42527413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58789 + ... + 59507.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 242527412 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 42527412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

42527412 is an abundant number, since it is smaller than the sum of its proper divisors (70691148).

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

42527412 is a wasteful number, since it uses less digits than its factorization.

42527412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 42527412 is about 6521.3044707328. The cubic root of 42527412 is about 349.0516148213.

Adding to 42527412 its reverse (21472524), we get a palindrome (63999936).

It can be divided in two parts, 4252 and 7412, that added together give a square (11664 = 1082).

The spelling of 42527412 in words is "forty-two million, five hundred twenty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 719 954 1116 1438 1643 1908 2157 2876 3286 4314 4929 6471 6572 8628 9858 12942 14787 19716 22289 25884 29574 38107 44578 59148 66867 76214 89156 114321 133734 152428 200601 228642 267468 342963 401202 457284 685926 802404 1181317 1371852 2362634 3543951 4725268 7087902 10631853 14175804 21263706 42527412