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1442038248 = 233372136247
BaseRepresentation
bin101010111110011…
…1100000111101000
310201111110010121000
41111330330013220
510423130210443
6355031515000
750510060100
oct12574740750
93644403530
101442038248
1167aaa1752
12342b28a60
1319c9a9c91
14d9736200
15868ea8d3
hex55f3c1e8

1442038248 has 96 divisors (see below), whose sum is σ = 4659681600. Its totient is φ = 412007904.

The previous prime is 1442038207. The next prime is 1442038303. The reversal of 1442038248 is 8428302441.

1442038248 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 57540 + ... + 78707.

It is an arithmetic number, because the mean of its divisors is an integer number (48538350).

Almost surely, 21442038248 is an apocalyptic number.

1442038248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1442038248 is an abundant number, since it is smaller than the sum of its proper divisors (3217643352).

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

1442038248 is a wasteful number, since it uses less digits than its factorization.

1442038248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136276 (or 136259 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 1442038248 is about 37974.1787007962. The cubic root of 1442038248 is about 1129.7757792516.

The spelling of 1442038248 in words is "one billion, four hundred forty-two million, thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 136247 272494 408741 544988 817482 953729 1089976 1226223 1634964 1907458 2452446 2861187 3269928 3678669 3814916 4904892 5722374 6676103 7357338 7629832 8583561 9809784 11444748 13352206 14714676 17167122 20028309 22889496 25750683 26704412 29429352 34334244 40056618 51501366 53408824 60084927 68668488 80113236 103002732 120169854 160226472 180254781 206005464 240339708 360509562 480679416 721019124 1442038248