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42299064 = 23331131733
BaseRepresentation
bin1010000101011…
…0111010111000
32221121000102000
42201112322320
541312032224
64110341000
71022351613
oct241267270
987530360
1042299064
1121970a05
12121ba760
1389c0142
14589117a
153aa80c9
hex2856eb8

42299064 has 64 divisors (see below), whose sum is σ = 118605600. Its totient is φ = 13966848.

The previous prime is 42299063. The next prime is 42299071. The reversal of 42299064 is 46099224.

42299064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42299063) 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, 23542 + ... + 25274.

Almost surely, 242299064 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 42299064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59302800).

42299064 is an abundant number, since it is smaller than the sum of its proper divisors (76306536).

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

42299064 is a wasteful number, since it uses less digits than its factorization.

42299064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42299064 is about 6503.7730587713. The cubic root of 42299064 is about 348.4257571394.

The spelling of 42299064 in words is "forty-two million, two hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 1733 2034 2712 3051 3466 4068 5199 6102 6932 8136 10398 12204 13864 15597 20796 24408 31194 41592 46791 62388 93582 124776 187164 195829 374328 391658 587487 783316 1174974 1566632 1762461 2349948 3524922 4699896 5287383 7049844 10574766 14099688 21149532 42299064