Search a number
-
+
42559416 = 23321135231
BaseRepresentation
bin1010001001011…
…0011110111000
32222002020112200
42202112132320
541343400131
64120110200
71024514634
oct242263670
988066480
1042559416
1122029579
1212305360
138a817b3
14591bdc4
153b0a2e6
hex28967b8

42559416 has 48 divisors (see below), whose sum is σ = 116307360. Its totient is φ = 14058240.

The previous prime is 42559399. The next prime is 42559441. The reversal of 42559416 is 61495524.

42559416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425594162 = 3622607780522112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 5521 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (2423070).

Almost surely, 242559416 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 42559416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58153680).

42559416 is an abundant number, since it is smaller than the sum of its proper divisors (73747944).

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

42559416 is a wasteful number, since it uses less digits than its factorization.

42559416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5349 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 42559416 is about 6523.7578127947. The cubic root of 42559416 is about 349.1391524531.

The spelling of 42559416 in words is "forty-two million, five hundred fifty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 5231 8136 10462 15693 20924 31386 41848 47079 62772 94158 125544 188316 376632 591103 1182206 1773309 2364412 3546618 4728824 5319927 7093236 10639854 14186472 21279708 42559416