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42486584 = 2371973547
BaseRepresentation
bin1010001000010…
…0101100111000
32221221112122012
42202010230320
541334032314
64114345052
71024062410
oct242045470
987845565
1042486584
1121a89888
121228b188
138a575ba
1458dd640
153ae393e
hex2884b38

42486584 has 64 divisors (see below), whose sum is σ = 97324800. Its totient is φ = 16982784.

The previous prime is 42486583. The next prime is 42486593. The reversal of 42486584 is 48568424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42486581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77399 + ... + 77945.

It is an arithmetic number, because the mean of its divisors is an integer number (1520700).

Almost surely, 242486584 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 42486584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48662400).

42486584 is an abundant number, since it is smaller than the sum of its proper divisors (54838216).

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

42486584 is a wasteful number, since it uses less digits than its factorization.

42486584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 42486584 is about 6518.1733637577. The cubic root of 42486584 is about 348.9398779311.

The spelling of 42486584 in words is "forty-two million, four hundred eighty-six thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 133 146 152 266 292 511 532 547 584 1022 1064 1094 1387 2044 2188 2774 3829 4088 4376 5548 7658 9709 10393 11096 15316 19418 20786 30632 38836 39931 41572 72751 77672 79862 83144 145502 159724 279517 291004 319448 559034 582008 758689 1118068 1517378 2236136 3034756 5310823 6069512 10621646 21243292 42486584