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42584988 = 22373173281
BaseRepresentation
bin1010001001110…
…0101110011100
32222010112121210
42202130232130
541400204423
64120424420
71024652325
oct242345634
988115553
1042584988
1122046806
1212318110
138a90324
14592744c
153b12b93
hex289cb9c

42584988 has 48 divisors (see below), whose sum is σ = 101668896. Its totient is φ = 13870080.

The previous prime is 42584959. The next prime is 42584989. The reversal of 42584988 is 88948524.

42584988 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 not an unprimeable number, because it can be changed into a prime (42584989) 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, 151408 + ... + 151688.

It is an arithmetic number, because the mean of its divisors is an integer number (2118102).

Almost surely, 242584988 is an apocalyptic number.

It is an amenable number.

42584988 is an abundant number, since it is smaller than the sum of its proper divisors (59083908).

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

42584988 is a wasteful number, since it uses less digits than its factorization.

42584988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 42584988 is about 6525.7174318231. The cubic root of 42584988 is about 349.2090656839.

The spelling of 42584988 in words is "forty-two million, five hundred eighty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 73 146 173 219 281 292 346 438 519 562 692 843 876 1038 1124 1686 2076 3372 12629 20513 25258 37887 41026 48613 50516 61539 75774 82052 97226 123078 145839 151548 194452 246156 291678 583356 3548749 7097498 10646247 14194996 21292494 42584988