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1442245504 = 2775712819
BaseRepresentation
bin101010111110110…
…1110101110000000
310201111211122220011
41111331232232000
510423203324004
6355040154304
750511612250
oct12575565600
93644748804
101442245504
11680123437
12343008994
1319ca5040b
14d978b960
158693c004
hex55f6eb80

1442245504 has 64 divisors (see below), whose sum is σ = 3290601600. Its totient is φ = 616803840.

The previous prime is 1442245411. The next prime is 1442245531. The reversal of 1442245504 is 4055422441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510207 + ... + 513025.

It is an arithmetic number, because the mean of its divisors is an integer number (51415650).

Almost surely, 21442245504 is an apocalyptic number.

1442245504 is a gapful number since it is divisible by the number (14) 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 1442245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645300800).

1442245504 is an abundant number, since it is smaller than the sum of its proper divisors (1848356096).

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

1442245504 is an equidigital number, since it uses as much as digits as its factorization.

1442245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 1442245504 is about 37976.9075096959. The cubic root of 1442245504 is about 1129.8299020861.

Adding to 1442245504 its reverse (4055422441), we get a palindrome (5497667945).

The spelling of 1442245504 in words is "one billion, four hundred forty-two million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 571 896 1142 2284 2819 3997 4568 5638 7994 9136 11276 15988 18272 19733 22552 31976 36544 39466 45104 63952 73088 78932 90208 127904 157864 180416 255808 315728 360832 511616 631456 1262912 1609649 2525824 3219298 6438596 11267543 12877192 22535086 25754384 45070172 51508768 90140344 103017536 180280688 206035072 360561376 721122752 1442245504