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42288714 = 232131271423
BaseRepresentation
bin1010000101010…
…0011001001010
32221120111012200
42201110121022
541311214324
64110221030
71022306466
oct241243112
987514180
1042288714
1121964156
12121b4776
1389b8510
14588b4a6
153aa4ec9
hex285464a

42288714 has 48 divisors (see below), whose sum is σ = 99520512. Its totient is φ = 12900384.

The previous prime is 42288713. The next prime is 42288721. The reversal of 42288714 is 41788224.

It is not an unprimeable number, because it can be changed into a prime (42288713) 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, 29007 + ... + 30429.

It is an arithmetic number, because the mean of its divisors is an integer number (2073344).

Almost surely, 242288714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42288714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49760256).

42288714 is an abundant number, since it is smaller than the sum of its proper divisors (57231798).

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

42288714 is a wasteful number, since it uses less digits than its factorization.

42288714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1568 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42288714 is about 6502.9773181213. The cubic root of 42288714 is about 348.3973364888.

The spelling of 42288714 in words is "forty-two million, two hundred eighty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1423 1651 2286 2846 3302 4269 4953 8538 9906 12807 14859 18499 25614 29718 36998 55497 110994 166491 180721 332982 361442 542163 1084326 1626489 2349373 3252978 4698746 7048119 14096238 21144357 42288714