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42963888 = 2431181371
BaseRepresentation
bin1010001111100…
…1001110110000
32222211210101010
42203321032300
541444321023
64132510520
71031121102
oct243711660
988753333
1042963888
1122285450
121247b440
138b93926
1459c5572
153b8a093
hex28f93b0

42963888 has 40 divisors (see below), whose sum is σ = 121081536. Its totient is φ = 13019200.

The previous prime is 42963887. The next prime is 42963889. The reversal of 42963888 is 88836924.

It is a happy number.

42963888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42963887) and next prime (42963889).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42963887) 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 7 ways as a sum of consecutive naturals, for example, 40158 + ... + 41213.

Almost surely, 242963888 is an apocalyptic number.

42963888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42963888 is an abundant number, since it is smaller than the sum of its proper divisors (78117648).

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

42963888 is a wasteful number, since it uses less digits than its factorization.

42963888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81393 (or 81387 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 42963888 is about 6554.6844317633. The cubic root of 42963888 is about 350.2417051522.

The spelling of 42963888 in words is "forty-two million, nine hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 81371 162742 244113 325484 488226 650968 895081 976452 1301936 1790162 1952904 2685243 3580324 3905808 5370486 7160648 10740972 14321296 21481944 42963888