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42952806 = 23213199661
BaseRepresentation
bin1010001111011…
…0100001100110
32222211020011200
42203312201212
541443442211
64132343330
71031043561
oct243664146
988736150
1042952806
1122278096
1212474b46
138b8b880
1459c14d8
153b86b56
hex28f6866

42952806 has 48 divisors (see below), whose sum is σ = 105509040. Its totient is φ = 12519360.

The previous prime is 42952781. The next prime is 42952813. The reversal of 42952806 is 60825924.

It is a happy number.

42952806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 385 + ... + 9276.

It is an arithmetic number, because the mean of its divisors is an integer number (2198105).

Almost surely, 242952806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42952806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52754520).

42952806 is an abundant number, since it is smaller than the sum of its proper divisors (62556234).

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

42952806 is a wasteful number, since it uses less digits than its factorization.

42952806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42952806 is about 6553.8390276234. The cubic root of 42952806 is about 350.2115890669.

It can be divided in two parts, 429 and 52806, that added together give a palindrome (53235).

The spelling of 42952806 in words is "forty-two million, nine hundred fifty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 9661 19322 28983 57966 86949 125593 173898 183559 251186 367118 376779 550677 753558 1101354 1130337 1652031 2260674 2386267 3304062 4772534 7158801 14317602 21476403 42952806