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42858450 = 2335253599
BaseRepresentation
bin1010001101111…
…1011111010010
32222122102202000
42203133133102
541432432300
64130334430
71030201515
oct243373722
988572660
1042858450
1122213208
121242a416
138b5793b
145998d7c
153b68c00
hex28df7d2

42858450 has 96 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 11194560.

The previous prime is 42858443. The next prime is 42858467. The reversal of 42858450 is 5485824.

42858450 is a `hidden beast` number, since 4 + 28 + 584 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71251 + ... + 71849.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 242858450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42858450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264000).

42858450 is an abundant number, since it is smaller than the sum of its proper divisors (77669550).

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

42858450 is a wasteful number, since it uses less digits than its factorization.

42858450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 42858450 is about 6546.6365410033. The cubic root of 42858450 is about 349.9549601907.

The spelling of 42858450 in words is "forty-two million, eight hundred fifty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 599 675 795 954 1198 1325 1350 1431 1590 1797 2385 2650 2862 2995 3594 3975 4770 5391 5990 7155 7950 8985 10782 11925 14310 14975 16173 17970 23850 26955 29950 31747 32346 35775 44925 53910 63494 71550 80865 89850 95241 134775 158735 161730 190482 269550 285723 317470 404325 476205 571446 793675 808650 857169 952410 1428615 1587350 1714338 2381025 2857230 4285845 4762050 7143075 8571690 14286150 21429225 42858450