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42131412 = 22321170317
BaseRepresentation
bin1010000010110…
…1111111010100
32221021111102200
42200231333110
541241201122
64103004500
71021053051
oct240557724
987244380
1042131412
1121866a54
1212139730
138961a3b
14584a028
153a735ac
hex282dfd4

42131412 has 18 divisors (see below), whose sum is σ = 106498938. Its totient is φ = 14043792.

The previous prime is 42131407. The next prime is 42131413. The reversal of 42131412 is 21413124.

It can be written as a sum of positive squares in only one way, i.e., 41139396 + 992016 = 6414^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×421314122 = 3550111754227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585123 + ... + 585194.

Almost surely, 242131412 is an apocalyptic number.

It is an amenable number.

42131412 is an abundant number, since it is smaller than the sum of its proper divisors (64367526).

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

42131412 is a wasteful number, since it uses less digits than its factorization.

42131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170327 (or 1170322 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 42131412 is about 6490.8714361016. The cubic root of 42131412 is about 347.9648200664.

Adding to 42131412 its reverse (21413124), we get a palindrome (63544536).

It can be divided in two parts, 4213 and 1412, that added together give a square (5625 = 752).

The spelling of 42131412 in words is "forty-two million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1170317 2340634 3510951 4681268 7021902 10532853 14043804 21065706 42131412