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42760744 = 2313715791
BaseRepresentation
bin1010001100011…
…1101000101000
32222110110201021
42203013220220
541421320434
64124302224
71026313615
oct243075050
988413637
1042760744
1122156864
12123a1974
138b22320
14597150c
153b49cb4
hex28c7a28

42760744 has 32 divisors (see below), whose sum is σ = 87575040. Its totient is φ = 19454400.

The previous prime is 42760727. The next prime is 42760747. The reversal of 42760744 is 44706724.

It is not an unprimeable number, because it can be changed into a prime (42760747) 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 7 ways as a sum of consecutive naturals, for example, 4489 + ... + 10279.

It is an arithmetic number, because the mean of its divisors is an integer number (2736720).

Almost surely, 242760744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42760744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43787520).

42760744 is an abundant number, since it is smaller than the sum of its proper divisors (44814296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42760744 is a wasteful number, since it uses less digits than its factorization.

42760744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 42760744 is about 6539.1699779100. The cubic root of 42760744 is about 349.6888227409.

The spelling of 42760744 in words is "forty-two million, seven hundred sixty thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 5791 7384 11582 23164 46328 75283 150566 301132 411161 602264 822322 1644644 3289288 5345093 10690186 21380372 42760744