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42082684 = 22717211419
BaseRepresentation
bin1010000010001…
…0000101111100
32221012000120221
42200202011330
541233121214
64101551124
71020461020
oct240420574
987160527
1042082684
1121833386
12121154a4
1389457c7
145836380
153a63e24
hex282217c

42082684 has 48 divisors (see below), whose sum is σ = 89752320. Its totient is φ = 16853760.

The previous prime is 42082679. The next prime is 42082693. The reversal of 42082684 is 48628024.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 100227 + ... + 100645.

It is an arithmetic number, because the mean of its divisors is an integer number (1869840).

Almost surely, 242082684 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 42082684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876160).

42082684 is an abundant number, since it is smaller than the sum of its proper divisors (47669636).

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

42082684 is a wasteful number, since it uses less digits than its factorization.

42082684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 42082684 is about 6487.1167709546. The cubic root of 42082684 is about 347.8306195578.

The spelling of 42082684 in words is "forty-two million, eighty-two thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 211 238 419 422 476 838 844 1477 1676 2933 2954 3587 5866 5908 7123 7174 11732 14246 14348 25109 28492 49861 50218 88409 99722 100436 176818 199444 353636 618863 1237726 1502953 2475452 3005906 6011812 10520671 21041342 42082684