Search a number
-
+
42232509 = 3411231139
BaseRepresentation
bin1010000100011…
…0101010111101
32221110122010000
42201012222331
541302420014
64105104513
71021653564
oct241065275
987418100
1042232509
1121925a00
1212188139
138998a67
145874bdb
153a93509
hex2846abd

42232509 has 60 divisors (see below), whose sum is σ = 72096640. Its totient is φ = 24591600.

The previous prime is 42232499. The next prime is 42232523. The reversal of 42232509 is 90523224.

42232509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42232509 - 213 = 42224317 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 303762 + ... + 303900.

Almost surely, 242232509 is an apocalyptic number.

It is an amenable number.

42232509 is a deficient number, since it is larger than the sum of its proper divisors (29864131).

42232509 is a wasteful number, since it uses less digits than its factorization.

42232509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42232509 is about 6498.6543991814. The cubic root of 42232509 is about 348.2429189777.

The spelling of 42232509 in words is "forty-two million, two hundred thirty-two thousand, five hundred nine".

Divisors: 1 3 9 11 27 31 33 81 93 99 121 139 279 297 341 363 417 837 891 1023 1089 1251 1529 2511 3069 3267 3751 3753 4309 4587 9207 9801 11253 11259 12927 13761 16819 27621 33759 38781 41283 47399 50457 101277 116343 123849 142197 151371 303831 349029 426591 454113 521389 1279773 1362339 1564167 3839319 4692501 14077503 42232509