Search a number
-
+
42460605 = 37511353
BaseRepresentation
bin1010000111111…
…0010110111101
32221220020000000
42201332112331
541332214410
64114024513
71023623565
oct241762675
987806000
1042460605
1121a71310
1212278139
138a48825
1458d3da5
153adadc0
hex287e5bd

42460605 has 64 divisors (see below), whose sum is σ = 83600640. Its totient is φ = 20528640.

The previous prime is 42460603. The next prime is 42460619. The reversal of 42460605 is 50606424.

It is a happy number.

It is not a de Polignac number, because 42460605 - 21 = 42460603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120109 + ... + 120461.

It is an arithmetic number, because the mean of its divisors is an integer number (1306260).

Almost surely, 242460605 is an apocalyptic number.

42460605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42460605 is a deficient number, since it is larger than the sum of its proper divisors (41140035).

42460605 is an equidigital number, since it uses as much as digits as its factorization.

42460605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42460605 is about 6516.1802461258. The cubic root of 42460605 is about 348.8687420844.

The spelling of 42460605 in words is "forty-two million, four hundred sixty thousand, six hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 353 405 495 729 891 1059 1215 1485 1765 2187 2673 3177 3645 3883 4455 5295 8019 9531 10935 11649 13365 15885 19415 24057 28593 34947 40095 47655 58245 85779 104841 120285 142965 174735 257337 314523 428895 524205 772011 943569 1286685 1572615 2830707 3860055 4717845 8492121 14153535 42460605