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42394240 = 27579463
BaseRepresentation
bin1010000110111…
…0001010000000
32221202211222001
42201232022000
541323103430
64112353344
71023226240
oct241561200
987684861
1042394240
1121a26469
1212245854
138a24565
1458b7b20
153ac63ca
hex286e280

42394240 has 64 divisors (see below), whose sum is σ = 115839360. Its totient is φ = 14533632.

The previous prime is 42394237. The next prime is 42394283. The reversal of 42394240 is 4249324.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42394199 and 42394208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 9211.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 242394240 is an apocalyptic number.

42394240 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 42394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57919680).

42394240 is an abundant number, since it is smaller than the sum of its proper divisors (73445120).

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

42394240 is an equidigital number, since it uses as much as digits as its factorization.

42394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 42394240 is about 6511.0859309335. The cubic root of 42394240 is about 348.6868892279.

The spelling of 42394240 in words is "forty-two million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9463 18926 37852 47315 66241 75704 94630 132482 151408 189260 264964 302816 331205 378520 529928 605632 662410 757040 1059856 1211264 1324820 1514080 2119712 2649640 3028160 4239424 5299280 6056320 8478848 10598560 21197120 42394240