Search a number
-
+
42366450 = 23527157257
BaseRepresentation
bin1010000110011…
…1010111110010
32221201102211210
42201213113302
541321211300
64112020550
71023052230
oct241472762
987642753
1042366450
1121a075a5
1212231756
138a14a09
1458ab950
153abd050
hex28675f2

42366450 has 96 divisors (see below), whose sum is σ = 121313664. Its totient is φ = 9584640.

The previous prime is 42366449. The next prime is 42366461. The reversal of 42366450 is 5466324.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 164722 + ... + 164978.

It is an arithmetic number, because the mean of its divisors is an integer number (1263684).

Almost surely, 242366450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42366450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60656832).

42366450 is an abundant number, since it is smaller than the sum of its proper divisors (78947214).

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

42366450 is a wasteful number, since it uses less digits than its factorization.

42366450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 42366450 is about 6508.9515284722. The cubic root of 42366450 is about 348.6106829104.

The spelling of 42366450 in words is "forty-two million, three hundred sixty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 157 175 210 257 314 350 471 514 525 771 785 942 1050 1099 1285 1542 1570 1799 2198 2355 2570 3297 3598 3855 3925 4710 5397 5495 6425 6594 7710 7850 8995 10794 10990 11775 12850 16485 17990 19275 23550 26985 27475 32970 38550 40349 44975 53970 54950 80698 82425 89950 121047 134925 164850 201745 242094 269850 282443 403490 564886 605235 847329 1008725 1210470 1412215 1694658 2017450 2824430 3026175 4236645 6052350 7061075 8473290 14122150 21183225 42366450