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42938910 = 234577573
BaseRepresentation
bin1010001111001…
…1001000011110
32222210112010000
42203303020132
541443021120
64132155130
71030655220
oct243631036
988715100
1042938910
1122268703
1212468aa6
138b85451
1459ba410
153b82990
hex28f321e

42938910 has 80 divisors (see below), whose sum is σ = 131969376. Its totient is φ = 9813312.

The previous prime is 42938899. The next prime is 42938921. The reversal of 42938910 is 1983924.

42938910 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 (42938899) and next prime (42938921).

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 39 ways as a sum of consecutive naturals, for example, 1884 + ... + 9456.

Almost surely, 242938910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42938910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65984688).

42938910 is an abundant number, since it is smaller than the sum of its proper divisors (89030466).

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

42938910 is a wasteful number, since it uses less digits than its factorization.

42938910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 42938910 is about 6552.7787998680. The cubic root of 42938910 is about 350.1738184252.

It can be divided in two parts, 4293 and 8910, that added together give a triangular number (13203 = T162).

The spelling of 42938910 in words is "forty-two million, nine hundred thirty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 7573 15146 22719 37865 45438 53011 68157 75730 106022 113595 136314 159033 204471 227190 265055 318066 340785 408942 477099 530110 613413 681570 795165 954198 1022355 1226826 1431297 1590330 2044710 2385495 2862594 3067065 4293891 4770990 6134130 7156485 8587782 14312970 21469455 42938910