Search a number
-
+
1992852736 = 2872792011
BaseRepresentation
bin111011011001000…
…1000010100000000
312010212220102000121
41312302020110000
513040132241421
6525425430024
7100245653200
oct16662102400
95125812017
101992852736
11932a05836
1247749b314
13259b44104
1414c958400
15b9e4ed41
hex76c88500

1992852736 has 108 divisors (see below), whose sum is σ = 4688281920. Its totient is φ = 842849280.

The previous prime is 1992852713. The next prime is 1992852767. The reversal of 1992852736 is 6372582991.

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 11 ways as a sum of consecutive naturals, for example, 989971 + ... + 991981.

Almost surely, 21992852736 is an apocalyptic number.

1992852736 is a gapful number since it is divisible by the number (16) 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 1992852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344140960).

1992852736 is an abundant number, since it is smaller than the sum of its proper divisors (2695429184).

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

1992852736 is an equidigital number, since it uses as much as digits as its factorization.

1992852736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2099 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 1992852736 is about 44641.3791901639. The cubic root of 1992852736 is about 1258.4184271368.

The spelling of 1992852736 in words is "one billion, nine hundred ninety-two million, eight hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 196 224 256 316 392 448 553 632 784 896 1106 1264 1568 1792 2011 2212 2528 3136 3871 4022 4424 5056 6272 7742 8044 8848 10112 12544 14077 15484 16088 17696 20224 28154 30968 32176 35392 56308 61936 64352 70784 98539 112616 123872 128704 141568 158869 197078 225232 247744 257408 317738 394156 450464 495488 514816 635476 788312 900928 990976 1112083 1270952 1576624 1801856 2224166 2541904 3153248 3603712 4448332 5083808 6306496 7784581 8896664 10167616 12612992 15569162 17793328 20335232 25225984 31138324 35586656 40670464 62276648 71173312 124553296 142346624 249106592 284693248 498213184 996426368 1992852736