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8426240 = 28529227
BaseRepresentation
bin100000001001…
…001100000000
3120212002121222
4200021030000
54124114430
6500334212
7131423204
oct40111400
916762558
108426240
114835839
1229a4368
131990454
141194b04
15b169e5
hex809300

8426240 has 72 divisors (see below), whose sum is σ = 20971440. Its totient is φ = 3239936.

The previous prime is 8426227. The next prime is 8426261. The reversal of 8426240 is 426248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37007 + ... + 37233.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 28426240 is an apocalyptic number.

8426240 is a gapful number since it is divisible by the number (80) 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 8426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485720).

8426240 is an abundant number, since it is smaller than the sum of its proper divisors (12545200).

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

8426240 is a wasteful number, since it uses less digits than its factorization.

8426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 8426240 is about 2902.7986495794. The cubic root of 8426240 is about 203.4907199152.

The spelling of 8426240 in words is "eight million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 227 232 256 290 320 454 464 580 640 908 928 1135 1160 1280 1816 1856 2270 2320 3632 3712 4540 4640 6583 7264 7424 9080 9280 13166 14528 18160 18560 26332 29056 32915 36320 37120 52664 58112 65830 72640 105328 131660 145280 210656 263320 290560 421312 526640 842624 1053280 1685248 2106560 4213120 8426240