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42288831 = 3313211571
BaseRepresentation
bin1010000101010…
…0011010111111
32221120111101000
42201110122333
541311220311
64110221343
71022310024
oct241243277
987514330
1042288831
1121964252
12121b4853
1389b85a0
14588b54b
153aa5056
hex28546bf

42288831 has 32 divisors (see below), whose sum is σ = 67907840. Its totient is φ = 25855200.

The previous prime is 42288821. The next prime is 42288853. The reversal of 42288831 is 13888224.

It is a happy number.

It is not a de Polignac number, because 42288831 - 27 = 42288703 is a prime.

It is a super-2 number, since 2×422888312 = 3576690454693122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42288821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73776 + ... + 74346.

It is an arithmetic number, because the mean of its divisors is an integer number (2122120).

Almost surely, 242288831 is an apocalyptic number.

42288831 is a deficient number, since it is larger than the sum of its proper divisors (25619009).

42288831 is a wasteful number, since it uses less digits than its factorization.

42288831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 42288831 is about 6502.9863139945. The cubic root of 42288831 is about 348.3976577917.

It can be divided in two parts, 422 and 88831, that added together give a triangular number (89253 = T422).

The spelling of 42288831 in words is "forty-two million, two hundred eighty-eight thousand, eight hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 211 351 571 633 1713 1899 2743 5139 5697 7423 8229 15417 22269 24687 66807 74061 120481 200421 361443 1084329 1566253 3252987 4698759 14096277 42288831