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1442025330 = 235192472833
BaseRepresentation
bin101010111110011…
…1000111101110010
310201111102110212120
41111330320331302
510423124302310
6355031335110
750510004324
oct12574707562
93644373776
101442025330
1167aa92a79
12342b21496
1319c9a4135
14d9731614
15868e6b70
hex55f38f72

1442025330 has 96 divisors (see below), whose sum is σ = 3731629824. Its totient is φ = 356424192.

The previous prime is 1442025329. The next prime is 1442025331. The reversal of 1442025330 is 335202441.

It is an interprime number because it is at equal distance from previous prime (1442025329) and next prime (1442025331).

It is a self number, because there is not a number n which added to its sum of digits gives 1442025330.

It is not an unprimeable number, because it can be changed into a prime (1442025331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507594 + ... + 510426.

It is an arithmetic number, because the mean of its divisors is an integer number (38871144).

Almost surely, 21442025330 is an apocalyptic number.

1442025330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442025330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865814912).

1442025330 is an abundant number, since it is smaller than the sum of its proper divisors (2289604494).

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

1442025330 is a wasteful number, since it uses less digits than its factorization.

1442025330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1442025330 is about 37974.0086111540. The cubic root of 1442025330 is about 1129.7724056733.

Adding to 1442025330 its reverse (335202441), we get a palindrome (1777227771).

The spelling of 1442025330 in words is "one billion, four hundred forty-two million, twenty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 47 57 94 95 114 141 190 235 282 285 361 470 570 705 722 893 1083 1410 1786 1805 2166 2679 2833 3610 4465 5358 5415 5666 8499 8930 10830 13395 14165 16967 16998 26790 28330 33934 42495 50901 53827 84835 84990 101802 107654 133151 161481 169670 254505 266302 269135 322962 399453 509010 538270 665755 798906 807405 1022713 1331510 1614810 1997265 2045426 2529869 3068139 3994530 5059738 5113565 6136278 7589607 10227130 12649345 15179214 15340695 25298690 30681390 37948035 48067511 75896070 96135022 144202533 240337555 288405066 480675110 721012665 1442025330