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42791034 = 23111353941
BaseRepresentation
bin1010001100111…
…1000001111010
32222112000021010
42203033001322
541423303114
64125054350
71026501126
oct243170172
988460233
1042791034
11221775a0
12123b73b6
138b33050
14597c586
153b53c59
hex28cf07a

42791034 has 64 divisors (see below), whose sum is σ = 102549888. Its totient is φ = 11731200.

The previous prime is 42791027. The next prime is 42791039. The reversal of 42791034 is 43019724.

It is a happy number.

42791034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42790992 and 42791010.

It is not an unprimeable number, because it can be changed into a prime (42791039) 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 31 ways as a sum of consecutive naturals, for example, 45004 + ... + 45944.

It is an arithmetic number, because the mean of its divisors is an integer number (1602342).

Almost surely, 242791034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42791034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51274944).

42791034 is an abundant number, since it is smaller than the sum of its proper divisors (59758854).

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

42791034 is a wasteful number, since it uses less digits than its factorization.

42791034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 42791034 is about 6541.4856110825. The cubic root of 42791034 is about 349.7713717756.

The spelling of 42791034 in words is "forty-two million, seven hundred ninety-one thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 858 941 1166 1378 1749 1882 2067 2823 3498 4134 5646 7579 10351 12233 15158 20702 22737 24466 31053 36699 45474 49873 62106 73398 99746 134563 149619 269126 299238 403689 548603 648349 807378 1097206 1296698 1645809 1945047 3291618 3890094 7131839 14263678 21395517 42791034