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42641820 = 223251318223
BaseRepresentation
bin1010001010101…
…0100110011100
32222020102120200
42202222212130
541404014240
64121543500
71025310114
oct242524634
988212520
1042641820
1122085481
1212344b90
138ab0160
145940044
153b24930
hex28aa99c

42641820 has 72 divisors (see below), whose sum is σ = 139304256. Its totient is φ = 10495872.

The previous prime is 42641813. The next prime is 42641821. The reversal of 42641820 is 2814624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6772 + ... + 11451.

Almost surely, 242641820 is an apocalyptic number.

It is an amenable number.

42641820 is an abundant number, since it is smaller than the sum of its proper divisors (96662436).

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

42641820 is a wasteful number, since it uses less digits than its factorization.

42641820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18251 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42641820 is about 6530.0704437242. The cubic root of 42641820 is about 349.3643428403.

It can be divided in two parts, 4264 and 1820, that added together give a square (6084 = 782).

The spelling of 42641820 in words is "forty-two million, six hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 18223 36446 54669 72892 91115 109338 164007 182230 218676 236899 273345 328014 364460 473798 546690 656028 710697 820035 947596 1093380 1184495 1421394 1640070 2132091 2368990 2842788 3280140 3553485 4264182 4737980 7106970 8528364 10660455 14213940 21320910 42641820