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42839604 = 2234196959
BaseRepresentation
bin1010001101101…
…0111000110100
32222121110220000
42203122320310
541431331404
64130111300
71030062543
oct243327064
988543800
1042839604
1122200035
121241b530
138b4c1a2
14599215a
153b63339
hex28dae34

42839604 has 60 divisors (see below), whose sum is σ = 117902400. Its totient is φ = 13526352.

The previous prime is 42839603. The next prime is 42839611. The reversal of 42839604 is 40693824.

It is a happy number.

42839604 is a `hidden beast` number, since 42 + 8 + 3 + 9 + 604 = 666.

42839604 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 (42839603) 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 19 ways as a sum of consecutive naturals, for example, 2677 + ... + 9635.

It is an arithmetic number, because the mean of its divisors is an integer number (1965040).

Almost surely, 242839604 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 42839604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58951200).

42839604 is an abundant number, since it is smaller than the sum of its proper divisors (75062796).

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

42839604 is a wasteful number, since it uses less digits than its factorization.

42839604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42839604 is about 6545.1970176611. The cubic root of 42839604 is about 349.9036578367.

The spelling of 42839604 in words is "forty-two million, eight hundred thirty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 6959 13918 20877 27836 41754 62631 83508 125262 132221 187893 250524 264442 375786 396663 528884 563679 751572 793326 1127358 1189989 1586652 2254716 2379978 3569967 4759956 7139934 10709901 14279868 21419802 42839604