Search a number
-
+
42467020 = 22517295973
BaseRepresentation
bin1010000111111…
…1111011001100
32221220112210121
42201333323030
541332421040
64114114324
71023651361
oct241777314
987815717
1042467020
1121a76112
121227b9a4
138a4b71b
1458d6468
153adcc4a
hex287fecc

42467020 has 96 divisors (see below), whose sum is σ = 100699200. Its totient is φ = 14966784.

The previous prime is 42466999. The next prime is 42467027. The reversal of 42467020 is 2076424.

It is not an unprimeable number, because it can be changed into a prime (42467027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581704 + ... + 581776.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 242467020 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 42467020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349600).

42467020 is an abundant number, since it is smaller than the sum of its proper divisors (58232180).

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

42467020 is a wasteful number, since it uses less digits than its factorization.

42467020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 42467020 is about 6516.6724637655. The cubic root of 42467020 is about 348.8863103714.

The spelling of 42467020 in words is "forty-two million, four hundred sixty-seven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 59 68 73 85 116 118 145 146 170 236 290 292 295 340 365 493 580 590 730 986 1003 1180 1241 1460 1711 1972 2006 2117 2465 2482 3422 4012 4234 4307 4930 4964 5015 6205 6844 8468 8555 8614 9860 10030 10585 12410 17110 17228 20060 21170 21535 24820 29087 34220 35989 42340 43070 58174 71978 73219 86140 116348 124903 143956 145435 146438 179945 249806 290870 292876 359890 366095 499612 581740 624515 719780 732190 1249030 1464380 2123351 2498060 4246702 8493404 10616755 21233510 42467020