Search a number
-
+
42864759 = 327237271
BaseRepresentation
bin1010001110000…
…1000001110111
32222122202101200
42203201001313
541433133014
64130423543
71030226100
oct243410167
988582350
1042864759
1122217a23
1212431bb3
138b5a782
14599b3a7
153b6aa09
hex28e1077

42864759 has 54 divisors (see below), whose sum is σ = 75066264. Its totient is φ = 23496480.

The previous prime is 42864749. The next prime is 42864763. The reversal of 42864759 is 95746824.

It is a happy number.

It is not a de Polignac number, because 42864759 - 25 = 42864727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42864719) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 603694 + ... + 603764.

It is an arithmetic number, because the mean of its divisors is an integer number (1390116).

Almost surely, 242864759 is an apocalyptic number.

42864759 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42864759 is a deficient number, since it is larger than the sum of its proper divisors (32201505).

42864759 is a wasteful number, since it uses less digits than its factorization.

42864759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 118 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42864759 is about 6547.1183737580. The cubic root of 42864759 is about 349.9721311143.

It can be divided in two parts, 4286 and 4759, that added together give a triangular number (9045 = T134).

The spelling of 42864759 in words is "forty-two million, eight hundred sixty-four thousand, seven hundred fifty-nine".

Divisors: 1 3 7 9 21 37 49 63 71 111 147 213 259 333 441 497 639 777 1369 1491 1813 2331 2627 3479 4107 4473 5439 7881 9583 10437 12321 16317 18389 23643 28749 31311 55167 67081 86247 97199 128723 165501 201243 291597 386169 603729 680393 874791 1158507 2041179 4762751 6123537 14288253 42864759