Search a number
-
+
42276663 = 321113107307
BaseRepresentation
bin1010000101000…
…1011100110111
32221112212200100
42201101130313
541310323123
64110045143
71022226402
oct241213467
987485610
1042276663
11219560a0
12121a97b3
1389b2ba0
145886d39
153aa1643
hex2851737

42276663 has 48 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 23353920.

The previous prime is 42276623. The next prime is 42276701. The reversal of 42276663 is 36667224.

It is a happy number.

42276663 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 42276663 - 29 = 42276151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276623) 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 47 ways as a sum of consecutive naturals, for example, 137556 + ... + 137862.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 242276663 is an apocalyptic number.

42276663 is a deficient number, since it is larger than the sum of its proper divisors (30371913).

42276663 is a wasteful number, since it uses less digits than its factorization.

42276663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 42276663 is about 6502.0506765174. The cubic root of 42276663 is about 348.3642391224.

The spelling of 42276663 in words is "forty-two million, two hundred seventy-six thousand, six hundred sixty-three".

Divisors: 1 3 9 11 13 33 39 99 107 117 143 307 321 429 921 963 1177 1287 1391 2763 3377 3531 3991 4173 10131 10593 11973 12519 15301 30393 32849 35919 43901 45903 98547 131703 137709 295641 361339 395109 427037 1084017 1281111 3252051 3843333 4697407 14092221 42276663