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42440850 = 23252372549
BaseRepresentation
bin1010000111100…
…1100010010010
32221212012220100
42201321202102
541331101400
64113353230
71023512154
oct241714222
987765810
1042440850
1121a58491
1212268816
138a3c83a
1458caad4
153ad5100
hex2879892

42440850 has 72 divisors (see below), whose sum is σ = 117152100. Its totient is φ = 11007360.

The previous prime is 42440821. The next prime is 42440861. The reversal of 42440850 is 5804424.

It can be written as a sum of positive squares in 6 ways, for example, as 34539129 + 7901721 = 5877^2 + 2811^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15376 + ... + 17924.

Almost surely, 242440850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58576050).

42440850 is an abundant number, since it is smaller than the sum of its proper divisors (74711250).

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

42440850 is a wasteful number, since it uses less digits than its factorization.

42440850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42440850 is about 6514.6642277250. The cubic root of 42440850 is about 348.8146294067.

The spelling of 42440850 in words is "forty-two million, four hundred forty thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2549 2775 3330 5098 5550 7647 8325 12745 15294 16650 22941 25490 38235 45882 63725 76470 94313 114705 127450 188626 191175 229410 282939 382350 471565 565878 573525 848817 943130 1147050 1414695 1697634 2357825 2829390 4244085 4715650 7073475 8488170 14146950 21220425 42440850