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42762429 = 32172771009
BaseRepresentation
bin1010001100100…
…0000010111101
32222110120000200
42203020002331
541421344204
64124314113
71026321543
oct243100275
988416020
1042762429
1122158056
12123a2939
138b23018
145971d93
153b4a539
hex28c80bd

42762429 has 24 divisors (see below), whose sum is σ = 65702520. Its totient is φ = 26707968.

The previous prime is 42762409. The next prime is 42762437. The reversal of 42762429 is 92426724.

42762429 is a `hidden beast` number, since 4 + 2 + 7 + 624 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2883204 + 39879225 = 1698^2 + 6315^2 .

It is not a de Polignac number, because 42762429 - 25 = 42762397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42762393 and 42762402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42762409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41877 + ... + 42885.

It is an arithmetic number, because the mean of its divisors is an integer number (2737605).

Almost surely, 242762429 is an apocalyptic number.

It is an amenable number.

42762429 is a deficient number, since it is larger than the sum of its proper divisors (22940091).

42762429 is a wasteful number, since it uses less digits than its factorization.

42762429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1306 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42762429 is about 6539.2988156224. The cubic root of 42762429 is about 349.6934158784.

The spelling of 42762429 in words is "forty-two million, seven hundred sixty-two thousand, four hundred twenty-nine".

Divisors: 1 3 9 17 51 153 277 831 1009 2493 3027 4709 9081 14127 17153 42381 51459 154377 279493 838479 2515437 4751381 14254143 42762429