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42985888 = 2511294211
BaseRepresentation
bin1010001111111…
…0100110100000
32222212220112221
42203332212200
542001022023
64133200424
71031242201
oct243764640
988786487
1042985888
112229aa30
1212490114
138ba094a
1459cd5a8
153b9185d
hex28fe9a0

42985888 has 48 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 18860800.

The previous prime is 42985879. The next prime is 42985951. The reversal of 42985888 is 88858924.

42985888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 8103 + ... + 12313.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 242985888 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 42985888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

42985888 is an abundant number, since it is smaller than the sum of its proper divisors (52542272).

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

42985888 is a wasteful number, since it uses less digits than its factorization.

42985888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4253 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 52.

The square root of 42985888 is about 6556.3624060907. The cubic root of 42985888 is about 350.3014763000.

It can be divided in two parts, 4 and 2985888, that added together give a palindrome (2985892).

The spelling of 42985888 in words is "forty-two million, nine hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 4211 5104 8422 10208 16844 33688 46321 67376 92642 122119 134752 185284 244238 370568 488476 741136 976952 1343309 1482272 1953904 2686618 3907808 5373236 10746472 21492944 42985888