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42941888 = 2611181337
BaseRepresentation
bin1010001111001…
…1110111000000
32222210200012022
42203303313000
541443120023
64132221012
71031000003
oct243636700
988720168
1042941888
112226a970
121246a768
138b86902
1459bb53a
153b837c8
hex28f3dc0

42941888 has 56 divisors (see below), whose sum is σ = 93750384. Its totient is φ = 19353600.

The previous prime is 42941849. The next prime is 42941891. The reversal of 42941888 is 88814924.

It is a happy number.

42941888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 127256 + ... + 127592.

It is an arithmetic number, because the mean of its divisors is an integer number (1674114).

Almost surely, 242941888 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 42941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46875192).

42941888 is an abundant number, since it is smaller than the sum of its proper divisors (50808496).

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

42941888 is a wasteful number, since it uses less digits than its factorization.

42941888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 42941888 is about 6553.0060277708. The cubic root of 42941888 is about 350.1819135967.

The spelling of 42941888 in words is "forty-two million, nine hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 181 337 352 362 674 704 724 1348 1448 1991 2696 2896 3707 3982 5392 5792 7414 7964 10784 11584 14828 15928 21568 29656 31856 59312 60997 63712 118624 121994 127424 237248 243988 487976 670967 975952 1341934 1951904 2683868 3903808 5367736 10735472 21470944 42941888