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42666988 = 22713251467
BaseRepresentation
bin1010001011000…
…0101111101100
32222021201002211
42202300233230
541410320423
64122300204
71025443360
oct242605754
988251084
1042666988
11220a2381
1212357664
138abb750
1459492a0
153b2c10d
hex28b0bec

42666988 has 48 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 16776000.

The previous prime is 42666983. The next prime is 42667003. The reversal of 42666988 is 88966624.

42666988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42666983) 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, 91131 + ... + 91597.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 242666988 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 42666988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

42666988 is an abundant number, since it is smaller than the sum of its proper divisors (49794836).

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

42666988 is a wasteful number, since it uses less digits than its factorization.

42666988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 740 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 42666988 is about 6531.9972443350. The cubic root of 42666988 is about 349.4330631127.

The spelling of 42666988 in words is "forty-two million, six hundred sixty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 251 364 467 502 934 1004 1757 1868 3263 3269 3514 6071 6526 6538 7028 12142 13052 13076 22841 24284 42497 45682 84994 91364 117217 169988 234434 468868 820519 1523821 1641038 3047642 3282076 6095284 10666747 21333494 42666988