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42028470 = 2345115389
BaseRepresentation
bin1010000001010…
…0110110110110
32221002021020000
42200110312312
541224402340
64100452130
71020143661
oct240246666
987067200
1042028470
11217a6680
12120aa046
138926c23
1458206d8
153a52d30
hex2814db6

42028470 has 160 divisors (see below), whose sum is σ = 127020960. Its totient is φ = 9884160.

The previous prime is 42028463. The next prime is 42028499. The reversal of 42028470 is 7482024.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 472186 + ... + 472274.

It is an arithmetic number, because the mean of its divisors is an integer number (793881).

Almost surely, 242028470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42028470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63510480).

42028470 is an abundant number, since it is smaller than the sum of its proper divisors (84992490).

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

42028470 is a wasteful number, since it uses less digits than its factorization.

42028470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42028470 is about 6482.9368344910. The cubic root of 42028470 is about 347.6811883983.

The spelling of 42028470 in words is "forty-two million, twenty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 53 54 55 66 81 89 90 99 106 110 135 159 162 165 178 198 265 267 270 297 318 330 405 445 477 495 530 534 583 594 795 801 810 890 891 954 979 990 1166 1335 1431 1485 1590 1602 1749 1782 1958 2385 2403 2670 2862 2915 2937 2970 3498 4005 4293 4455 4717 4770 4806 4895 5247 5830 5874 7155 7209 8010 8586 8745 8811 8910 9434 9790 10494 12015 14151 14310 14418 14685 15741 17490 17622 21465 23585 24030 26235 26433 28302 29370 31482 36045 42453 42930 44055 47170 47223 51887 52470 52866 70755 72090 78705 79299 84906 88110 94446 103774 127359 132165 141510 155661 157410 158598 212265 236115 254718 259435 264330 311322 382077 396495 424530 466983 472230 518870 636795 764154 778305 792990 933966 1273590 1400949 1556610 1910385 2334915 2801898 3820770 4202847 4669830 7004745 8405694 14009490 21014235 42028470