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42708816 = 2433109907
BaseRepresentation
bin1010001011101…
…0111101010000
32222100211111000
42202322331100
541413140231
64123222000
71026006333
oct242727520
988324430
1042708816
1122120847
1212377900
138b047b7
14595a61a
153b396e6
hex28baf50

42708816 has 80 divisors (see below), whose sum is σ = 123851200. Its totient is φ = 14090112.

The previous prime is 42708803. The next prime is 42708817. The reversal of 42708816 is 61880724.

42708816 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 (42708817) 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, 46635 + ... + 47541.

It is an arithmetic number, because the mean of its divisors is an integer number (1548140).

Almost surely, 242708816 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 42708816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61925600).

42708816 is an abundant number, since it is smaller than the sum of its proper divisors (81142384).

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

42708816 is a wasteful number, since it uses less digits than its factorization.

42708816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42708816 is about 6535.1982372381. The cubic root of 42708816 is about 349.5472131322.

The spelling of 42708816 in words is "forty-two million, seven hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 907 981 1308 1744 1814 1962 2616 2721 2943 3628 3924 5232 5442 5886 7256 7848 8163 10884 11772 14512 15696 16326 21768 23544 24489 32652 43536 47088 48978 65304 97956 98863 130608 195912 197726 296589 391824 395452 593178 790904 889767 1186356 1581808 1779534 2372712 2669301 3559068 4745424 5338602 7118136 10677204 14236272 21354408 42708816