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42795585 = 3257135859
BaseRepresentation
bin1010001101000…
…0001001000001
32222112020111200
42203100021001
541423424320
64125131413
71026520320
oct243201101
988466450
1042795585
112217aa58
12123b9b69
138b35141
1459800b7
153b55290
hex28d0241

42795585 has 24 divisors (see below), whose sum is σ = 84776640. Its totient is φ = 19563552.

The previous prime is 42795563. The next prime is 42795589. The reversal of 42795585 is 58559724.

It is not a de Polignac number, because 42795585 - 211 = 42793537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42795585.

It is not an unprimeable number, because it can be changed into a prime (42795589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67615 + ... + 68244.

It is an arithmetic number, because the mean of its divisors is an integer number (3532360).

Almost surely, 242795585 is an apocalyptic number.

42795585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42795585 is a deficient number, since it is larger than the sum of its proper divisors (41981055).

42795585 is a wasteful number, since it uses less digits than its factorization.

42795585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135877 (or 135874 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 42795585 is about 6541.8334585955. The cubic root of 42795585 is about 349.7837712040.

The spelling of 42795585 in words is "forty-two million, seven hundred ninety-five thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 135859 407577 679295 951013 1222731 2037885 2853039 4755065 6113655 8559117 14265195 42795585