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42242460 = 223513311747
BaseRepresentation
bin1010000100100…
…1000110011100
32221111010202120
42201021012130
541303224320
64105222540
71022024601
oct241110634
987433676
1042242460
1121932427
1212191a50
1389a0450
1458786a8
153a96440
hex284919c

42242460 has 96 divisors (see below), whose sum is σ = 131561472. Its totient is φ = 10056960.

The previous prime is 42242437. The next prime is 42242471. The reversal of 42242460 is 6424224.

It is a self number, because there is not a number n which added to its sum of digits gives 42242460.

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, 23307 + ... + 25053.

It is an arithmetic number, because the mean of its divisors is an integer number (1370432).

Almost surely, 242242460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42242460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65780736).

42242460 is an abundant number, since it is smaller than the sum of its proper divisors (89319012).

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

42242460 is a wasteful number, since it uses less digits than its factorization.

42242460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42242460 is about 6499.4199741208. The cubic root of 42242460 is about 348.2702683130.

Adding to 42242460 its reverse (6424224), we get a palindrome (48666684).

The spelling of 42242460 in words is "forty-two million, two hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1747 1860 2015 2418 3494 4030 4836 5241 6045 6988 8060 8735 10482 12090 17470 20964 22711 24180 26205 34940 45422 52410 54157 68133 90844 104820 108314 113555 136266 162471 216628 227110 270785 272532 324942 340665 454220 541570 649884 681330 704041 812355 1083140 1362660 1408082 1624710 2112123 2816164 3249420 3520205 4224246 7040410 8448492 10560615 14080820 21121230 42242460