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42215985 = 345714891
BaseRepresentation
bin1010000100001…
…0101000110001
32221102210110000
42201002220301
541301402420
64104500213
71021554450
oct241025061
987383400
1042215985
1121914549
121217a669
138991396
14586cb97
153a8d690
hex2842a31

42215985 has 40 divisors (see below), whose sum is σ = 86492736. Its totient is φ = 19297440.

The previous prime is 42215977. The next prime is 42215989. The reversal of 42215985 is 58951224.

42215985 is a `hidden beast` number, since 42 + 21 + 598 + 5 = 666.

It is not a de Polignac number, because 42215985 - 23 = 42215977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42215989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4611 + ... + 10280.

Almost surely, 242215985 is an apocalyptic number.

42215985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42215985 is an abundant number, since it is smaller than the sum of its proper divisors (44276751).

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

42215985 is a wasteful number, since it uses less digits than its factorization.

42215985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915 (or 14906 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42215985 is about 6497.3829346899. The cubic root of 42215985 is about 348.1974949131.

The spelling of 42215985 in words is "forty-two million, two hundred fifteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 14891 44673 74455 104237 134019 223365 312711 402057 521185 670095 938133 1206171 1563555 2010285 2814399 4690665 6030855 8443197 14071995 42215985