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42441300 = 223352111429
BaseRepresentation
bin1010000111100…
…1101001010100
32221212020112000
42201321221110
541331110200
64113355300
71023513366
oct241715124
987766460
1042441300
1121a58860
1212268b30
138a3cac5
1458cad36
153ad5300
hex2879a54

42441300 has 144 divisors (see below), whose sum is σ = 148948800. Its totient is φ = 10281600.

The previous prime is 42441277. The next prime is 42441313. The reversal of 42441300 is 314424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28986 + ... + 30414.

Almost surely, 242441300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

42441300 is an abundant number, since it is smaller than the sum of its proper divisors (106507500).

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

42441300 is a wasteful number, since it uses less digits than its factorization.

42441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42441300 is about 6514.6987651003. The cubic root of 42441300 is about 348.8158622286.

Adding to 42441300 its reverse (314424), we get a palindrome (42755724).

The spelling of 42441300 in words is "forty-two million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1429 1485 1650 1980 2475 2700 2858 2970 3300 4287 4950 5716 5940 7145 7425 8574 9900 12861 14290 14850 15719 17148 21435 25722 28580 29700 31438 35725 38583 42870 47157 51444 62876 64305 71450 77166 78595 85740 94314 107175 128610 141471 142900 154332 157190 188628 192915 214350 235785 257220 282942 314380 321525 385830 392975 424413 428700 471570 565884 643050 707355 771660 785950 848826 943140 964575 1178925 1286100 1414710 1571900 1697652 1929150 2122065 2357850 2829420 3536775 3858300 4244130 4715700 7073550 8488260 10610325 14147100 21220650 42441300