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1382072944 = 24723532191
BaseRepresentation
bin101001001100000…
…1100001001110000
310120022121120122211
41102120030021300
510312302313234
6345050341504
746151266120
oct12230141160
93508546584
101382072944
1164a16494a
12326a2a894
13190442a55
14d17a6c80
1581503164
hex5260c270

1382072944 has 120 divisors (see below), whose sum is σ = 3271790592. Its totient is φ = 552963840.

The previous prime is 1382072927. The next prime is 1382072963. The reversal of 1382072944 is 4492702831.

It is a junction number, because it is equal to n+sod(n) for n = 1382072897 and 1382072906.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7235889 + ... + 7236079.

Almost surely, 21382072944 is an apocalyptic number.

1382072944 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 1382072944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635895296).

1382072944 is an abundant number, since it is smaller than the sum of its proper divisors (1889717648).

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

1382072944 is a wasteful number, since it uses less digits than its factorization.

1382072944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1382072944 is about 37176.2416605014. The cubic root of 1382072944 is about 1113.8934624739.

The spelling of 1382072944 in words is "one billion, three hundred eighty-two million, seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 191 212 322 368 371 382 424 644 742 764 848 1219 1288 1337 1484 1528 2438 2576 2674 2809 2968 3056 4393 4876 5348 5618 5936 8533 8786 9752 10123 10696 11236 17066 17572 19504 19663 20246 21392 22472 30751 34132 35144 39326 40492 44944 61502 64607 68264 70288 70861 78652 80984 123004 129214 136528 141722 157304 161968 232829 246008 258428 283444 314608 452249 465658 492016 516856 536519 566888 904498 931316 1033712 1073038 1133776 1629803 1808996 1862632 2146076 3259606 3617992 3725264 3755633 4292152 6519212 7235984 7511266 8584304 12339937 13038424 15022532 24679874 26076848 30045064 49359748 60090128 86379559 98719496 172759118 197438992 345518236 691036472 1382072944