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42643260 = 22345112393
BaseRepresentation
bin1010001010101…
…0111100111100
32222020111120000
42202222330330
541404041020
64121554300
71025314242
oct242527474
988214500
1042643260
1122086570
1212345990
138ab09ca
145940792
153b25090
hex28aaf3c

42643260 has 120 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 10333440.

The previous prime is 42643247. The next prime is 42643267. The reversal of 42643260 is 6234624.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42643267) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16624 + ... + 19016.

Almost surely, 242643260 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 42643260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

42643260 is an abundant number, since it is smaller than the sum of its proper divisors (103352436).

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

42643260 is a wasteful number, since it uses less digits than its factorization.

42643260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42643260 is about 6530.1807019408. The cubic root of 42643260 is about 349.3682754351.

Adding to 42643260 its reverse (6234624), we get a palindrome (48877884).

The spelling of 42643260 in words is "forty-two million, six hundred forty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2393 2970 3564 4455 4786 5940 7179 8910 9572 11965 14358 17820 21537 23930 26323 28716 35895 43074 47860 52646 64611 71790 78969 86148 105292 107685 129222 131615 143580 157938 193833 215370 236907 258444 263230 315876 323055 387666 394845 430740 473814 526460 646110 710721 775332 789690 947628 969165 1184535 1292220 1421442 1579380 1938330 2132163 2369070 2842884 3553605 3876660 4264326 4738140 7107210 8528652 10660815 14214420 21321630 42643260