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1049306368 = 28111723953
BaseRepresentation
bin111110100010110…
…010010100000000
32201010110021201211
4332202302110000
54122110300433
6252042135504
735000646145
oct7642622400
92633407654
101049306368
11499340450
122534b1594
13139511956
149d5043cc
15621c08cd
hex3e8b2500

1049306368 has 144 divisors (see below), whose sum is σ = 2527168896. Its totient is φ = 428933120.

The previous prime is 1049306341. The next prime is 1049306387. The reversal of 1049306368 is 8636039401.

It is a super-2 number, since 2×10493063682 = 2202087707850702848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1049306368.

It is a congruent number.

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, 1100580 + ... + 1101532.

It is an arithmetic number, because the mean of its divisors is an integer number (17549784).

Almost surely, 21049306368 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 1049306368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263584448).

1049306368 is an abundant number, since it is smaller than the sum of its proper divisors (1477862528).

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

1049306368 is a wasteful number, since it uses less digits than its factorization.

1049306368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1049306368 is about 32392.9987497299. The cubic root of 1049306368 is about 1016.1724963903.

The spelling of 1049306368 in words is "one billion, forty-nine million, three hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 128 136 176 184 187 253 256 272 352 368 374 391 506 544 704 736 748 782 953 1012 1088 1408 1472 1496 1564 1906 2024 2176 2816 2944 2992 3128 3812 4048 4301 4352 5888 5984 6256 7624 8096 8602 10483 11968 12512 15248 16192 16201 17204 20966 21919 23936 25024 30496 32384 32402 34408 41932 43838 47872 50048 60992 64768 64804 68816 83864 87676 100096 121984 129608 137632 167728 175352 178211 241109 243968 259216 275264 335456 350704 356422 372623 482218 518432 550528 670912 701408 712844 745246 964436 1036864 1101056 1341824 1402816 1425688 1490492 1928872 2073728 2683648 2805632 2851376 2980984 3857744 4098853 4147456 5611264 5702752 5961968 7715488 8197706 11405504 11923936 15430976 16395412 22811008 23847872 30861952 32790824 45622016 47695744 61723904 65581648 95391488 131163296 262326592 524653184 1049306368