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42830016 = 263376029
BaseRepresentation
bin1010001101100…
…0100011000000
32222120222201220
42203120203000
541431030031
64125555040
71030022565
oct243304300
988528656
1042830016
11221a3909
1212415a80
138b47a08
14598c86c
153b60596
hex28d88c0

42830016 has 56 divisors (see below), whose sum is σ = 116403120. Its totient is φ = 13888512.

The previous prime is 42829999. The next prime is 42830023. The reversal of 42830016 is 61003824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4090 + ... + 10118.

Almost surely, 242830016 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 42830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58201560).

42830016 is an abundant number, since it is smaller than the sum of its proper divisors (73573104).

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

42830016 is a wasteful number, since it uses less digits than its factorization.

42830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42830016 is about 6544.4645311897. The cubic root of 42830016 is about 349.8775517240.

The spelling of 42830016 in words is "forty-two million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6029 7104 12058 18087 24116 36174 48232 72348 96464 144696 192928 223073 289392 385856 446146 578784 669219 892292 1157568 1338438 1784584 2676876 3569168 5353752 7138336 10707504 14276672 21415008 42830016