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42441360 = 24351361223
BaseRepresentation
bin1010000111100…
…1101010010000
32221212020121020
42201321222100
541331110420
64113355440
71023513513
oct241715220
987766536
1042441360
1121a58905
1212268b80
138a3cb40
1458cad7a
153ad5340
hex2879a90

42441360 has 160 divisors (see below), whose sum is σ = 144657408. Its totient is φ = 10229760.

The previous prime is 42441353. The next prime is 42441403. The reversal of 42441360 is 6314424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42441360.

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 31 ways as a sum of consecutive naturals, for example, 190209 + ... + 190431.

Almost surely, 242441360 is an apocalyptic number.

42441360 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 42441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72328704).

42441360 is an abundant number, since it is smaller than the sum of its proper divisors (102216048).

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

42441360 is a wasteful number, since it uses less digits than its factorization.

42441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42441360 is about 6514.7033700699. The cubic root of 42441360 is about 348.8160266042.

Adding to 42441360 its reverse (6314424), we get a palindrome (48755784).

The spelling of 42441360 in words is "forty-two million, four hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 223 240 244 260 305 312 366 390 446 488 520 610 624 669 732 780 793 892 915 976 1040 1115 1220 1338 1464 1560 1586 1784 1830 2230 2379 2440 2676 2899 2928 3120 3172 3345 3568 3660 3965 4460 4758 4880 5352 5798 6344 6690 7320 7930 8697 8920 9516 10704 11596 11895 12688 13380 13603 14495 14640 15860 17394 17840 19032 23192 23790 26760 27206 28990 31720 34788 38064 40809 43485 46384 47580 53520 54412 57980 63440 68015 69576 81618 86970 95160 108824 115960 136030 139152 163236 173940 176839 190320 204045 217648 231920 272060 326472 347880 353678 408090 530517 544120 652944 695760 707356 816180 884195 1061034 1088240 1414712 1632360 1768390 2122068 2652585 2829424 3264720 3536780 4244136 5305170 7073560 8488272 10610340 14147120 21220680 42441360