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4049281920 = 27353176653
BaseRepresentation
bin1111000101011011…
…0010001110000000
3101110012102211112110
43301112302032000
531243104010140
61505450055320
7202226220435
oct36126621600
911405384473
104049281920
111798794492
1295011a540
134c6bb8008
142a5b01b8c
1518a75c380
hexf15b2380

4049281920 has 128 divisors (see below), whose sum is σ = 12949748640. Its totient is φ = 1076240384.

The previous prime is 4049281909. The next prime is 4049281933. The reversal of 4049281920 is 291829404.

It is a tau number, because it is divible by the number of its divisors (128).

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, 605314 + ... + 611966.

Almost surely, 24049281920 is an apocalyptic number.

4049281920 is a gapful number since it is divisible by the number (40) 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 4049281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474874320).

4049281920 is an abundant number, since it is smaller than the sum of its proper divisors (8900466720).

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

4049281920 is a wasteful number, since it uses less digits than its factorization.

4049281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4049281920 is about 63633.9682873856. The cubic root of 4049281920 is about 1593.8936415556.

The spelling of 4049281920 in words is "four billion, forty-nine million, two hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 317 320 384 480 634 640 951 960 1268 1585 1902 1920 2536 3170 3804 4755 5072 6340 6653 7608 9510 10144 12680 13306 15216 19020 19959 20288 25360 26612 30432 33265 38040 39918 40576 50720 53224 60864 66530 76080 79836 99795 101440 106448 121728 133060 152160 159672 199590 202880 212896 266120 304320 319344 399180 425792 532240 608640 638688 798360 851584 1064480 1277376 1596720 2109001 2128960 2554752 3193440 4218002 4257920 6327003 6386880 8436004 10545005 12654006 12773760 16872008 21090010 25308012 31635015 33744016 42180020 50616024 63270030 67488032 84360040 101232048 126540060 134976064 168720080 202464096 253080120 269952128 337440160 404928192 506160240 674880320 809856384 1012320480 1349760640 2024640960 4049281920