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42044000 = 255323457
BaseRepresentation
bin1010000001100…
…0101001100000
32221010001112012
42200120221200
541230402000
64101052052
71020240155
oct240305140
987101465
1042044000
1121807309
12120b7028
13893100b
14582622c
153a57735
hex2818a60

42044000 has 96 divisors (see below), whose sum is σ = 108029376. Its totient is φ = 16051200.

The previous prime is 42043993. The next prime is 42044047. The reversal of 42044000 is 44024.

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, 91772 + ... + 92228.

It is an arithmetic number, because the mean of its divisors is an integer number (1125306).

Almost surely, 242044000 is an apocalyptic number.

42044000 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 42044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014688).

42044000 is an abundant number, since it is smaller than the sum of its proper divisors (65985376).

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

42044000 is a wasteful number, since it uses less digits than its factorization.

42044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42044000 is about 6484.1344834912. The cubic root of 42044000 is about 347.7240071823.

Adding to 42044000 its reverse (44024), we get a palindrome (42088024).

The spelling of 42044000 in words is "forty-two million, forty-four thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 457 460 500 575 736 800 914 920 1000 1150 1828 1840 2000 2285 2300 2875 3656 3680 4000 4570 4600 5750 7312 9140 9200 10511 11425 11500 14624 18280 18400 21022 22850 23000 36560 42044 45700 46000 52555 57125 73120 84088 91400 92000 105110 114250 168176 182800 210220 228500 262775 336352 365600 420440 457000 525550 840880 914000 1051100 1313875 1681760 1828000 2102200 2627750 4204400 5255500 8408800 10511000 21022000 42044000