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42546630 = 2357832441
BaseRepresentation
bin1010001001001…
…1010111000110
32222001121000010
42202103113012
541342443010
64115531050
71024432440
oct242232706
988047003
1042546630
112201aa05
12122b9a86
138a78a29
145917490
153b06620
hex28935c6

42546630 has 64 divisors (see below), whose sum is σ = 118153728. Its totient is φ = 9603840.

The previous prime is 42546629. The next prime is 42546641. The reversal of 42546630 is 3664524.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16210 + ... + 18650.

It is an arithmetic number, because the mean of its divisors is an integer number (1846152).

Almost surely, 242546630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42546630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59076864).

42546630 is an abundant number, since it is smaller than the sum of its proper divisors (75607098).

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

42546630 is a wasteful number, since it uses less digits than its factorization.

42546630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541.

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

The square root of 42546630 is about 6522.7777825095. Note that the first 4 decimals coincide. The cubic root of 42546630 is about 349.1041853354.

The spelling of 42546630 in words is "forty-two million, five hundred forty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2441 2490 2905 3486 4882 5810 7323 8715 12205 14646 17087 17430 24410 34174 36615 51261 73230 85435 102522 170870 202603 256305 405206 512610 607809 1013015 1215618 1418221 2026030 2836442 3039045 4254663 6078090 7091105 8509326 14182210 21273315 42546630