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42466536 = 23327212037
BaseRepresentation
bin1010000111111…
…1110011101000
32221220112010200
42201333303220
541332412121
64114112200
71023650100
oct241776350
987815120
1042466536
1121a75812
121227b660
138a4b438
1458d6200
153adca26
hex287fce8

42466536 has 72 divisors (see below), whose sum is σ = 133802370. Its totient is φ = 12132288.

The previous prime is 42466519. The next prime is 42466537. The reversal of 42466536 is 63566424.

It can be written as a sum of positive squares in only one way, i.e., 42380100 + 86436 = 6510^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42466536.

It is not an unprimeable number, because it can be changed into a prime (42466537) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2491 + ... + 9546.

Almost surely, 242466536 is an apocalyptic number.

It is an amenable number.

42466536 is an abundant number, since it is smaller than the sum of its proper divisors (91335834).

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

42466536 is a wasteful number, since it uses less digits than its factorization.

42466536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12049 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 42466536 is about 6516.6353281429. The cubic root of 42466536 is about 348.8849849381.

The spelling of 42466536 in words is "forty-two million, four hundred sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 12037 24074 36111 48148 72222 84259 96296 108333 144444 168518 216666 252777 288888 337036 433332 505554 589813 674072 758331 866664 1011108 1179626 1516662 1769439 2022216 2359252 3033324 3538878 4718504 5308317 6066648 7077756 10616634 14155512 21233268 42466536