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1382022048 = 253111936781
BaseRepresentation
bin101001001011111…
…1111101110100000
310120022111222211210
41102113333232200
510312244201143
6345045310120
746150664541
oct12227775640
93508458753
101382022048
1164a12a690
12326a05340
13190425834
14d17924c8
15814e3033
hex525ffba0

1382022048 has 96 divisors (see below), whose sum is σ = 3978700992. Its totient is φ = 416563200.

The previous prime is 1382022017. The next prime is 1382022053. The reversal of 1382022048 is 8402202831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13820220482 = 3819969882316228608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200418 + ... + 207198.

It is an arithmetic number, because the mean of its divisors is an integer number (41444802).

Almost surely, 21382022048 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 1382022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989350496).

1382022048 is an abundant number, since it is smaller than the sum of its proper divisors (2596678944).

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

1382022048 is a wasteful number, since it uses less digits than its factorization.

1382022048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1382022048 is about 37175.5571309967. The cubic root of 1382022048 is about 1113.8797889511.

Adding to 1382022048 its reverse (8402202831), we get a palindrome (9784224879).

The spelling of 1382022048 in words is "one billion, three hundred eighty-two million, twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 1056 1158 1544 2123 2316 3088 4246 4632 6176 6369 6781 8492 9264 12738 13562 16984 18528 20343 25476 27124 33968 40686 50952 54248 67936 74591 81372 101904 108496 149182 162744 203808 216992 223773 298364 325488 447546 596728 650976 895092 1193456 1308733 1790184 2386912 2617466 3580368 3926199 5234932 7160736 7852398 10469864 14396063 15704796 20939728 28792126 31409592 41879456 43188189 57584252 62819184 86376378 115168504 125638368 172752756 230337008 345505512 460674016 691011024 1382022048