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42402738 = 2372233619
BaseRepresentation
bin1010000111000…
…0001110110010
32221210021121210
42201300032302
541323341423
64112500550
71023263100
oct241601662
987707553
1042402738
1121a31894
121224a756
138a283a1
1458bac70
153ac8b93
hex28703b2

42402738 has 48 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 12043584.

The previous prime is 42402719. The next prime is 42402797. The reversal of 42402738 is 83720424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68193 + ... + 68811.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 242402738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42402738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

42402738 is an abundant number, since it is smaller than the sum of its proper divisors (56831982).

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

42402738 is a wasteful number, since it uses less digits than its factorization.

42402738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42402738 is about 6511.7384775496. The cubic root of 42402738 is about 348.7101859715.

The spelling of 42402738 in words is "forty-two million, four hundred two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 233 294 466 619 699 1238 1398 1631 1857 3262 3714 4333 4893 8666 9786 11417 12999 22834 25998 30331 34251 60662 68502 90993 144227 181986 288454 432681 865362 1009589 2019178 3028767 6057534 7067123 14134246 21201369 42402738