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42086616 = 233111312263
BaseRepresentation
bin1010000010001…
…1000011011000
32221012012222120
42200203003120
541233232431
64102021240
71020505335
oct240430330
987165876
1042086616
1121836330
1212117820
138947530
14583798c
153a65196
hex28230d8

42086616 has 64 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 11771520.

The previous prime is 42086609. The next prime is 42086621. The reversal of 42086616 is 61668024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2700 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 242086616 is an apocalyptic number.

It is an amenable number.

42086616 is an abundant number, since it is smaller than the sum of its proper divisors (81534504).

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

42086616 is a wasteful number, since it uses less digits than its factorization.

42086616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42086616 is about 6487.4198260942. The cubic root of 42086616 is about 347.8414524172.

The spelling of 42086616 in words is "forty-two million, eighty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 12263 24526 36789 49052 73578 98104 134893 147156 159419 269786 294312 318838 404679 478257 539572 637676 809358 956514 1079144 1275352 1618716 1753609 1913028 3237432 3507218 3826056 5260827 7014436 10521654 14028872 21043308 42086616