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42826680 = 23325139151
BaseRepresentation
bin1010001101011…
…1101110111000
32222120211011100
42203113232320
541430423210
64125531400
71030010061
oct243275670
988524140
1042826680
11221a1356
1212413b60
138b46340
14598b568
153b5e5c0
hex28d7bb8

42826680 has 96 divisors (see below), whose sum is σ = 149909760. Its totient is φ = 10540800.

The previous prime is 42826633. The next prime is 42826681. The reversal of 42826680 is 8662824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42826681) 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, 105 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 242826680 is an apocalyptic number.

42826680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74954880).

42826680 is an abundant number, since it is smaller than the sum of its proper divisors (107083080).

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

42826680 is a wasteful number, since it uses less digits than its factorization.

42826680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42826680 is about 6544.2096543433. The cubic root of 42826680 is about 349.8684675822.

The spelling of 42826680 in words is "forty-two million, eight hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 9151 18302 27453 36604 45755 54906 73208 82359 91510 109812 118963 137265 164718 183020 219624 237926 274530 329436 356889 366040 411795 475852 549060 594815 658872 713778 823590 951704 1070667 1098120 1189630 1427556 1647180 1784445 2141334 2379260 2855112 3294360 3568890 4282668 4758520 5353335 7137780 8565336 10706670 14275560 21413340 42826680