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5760027728 = 2471316723689
BaseRepresentation
bin1010101110101001…
…10000110001010000
3112212102111201121022
411113110300301100
543244031341403
62351321215012
7262511266520
oct52724606120
915772451538
105760027728
1124964270a4
121149031468
1370a457740
143c8dc3680
1523aa34d38
hex157530c50

5760027728 has 80 divisors (see below), whose sum is σ = 13818282240. Its totient is φ = 2264951808.

The previous prime is 5760027673. The next prime is 5760027731. The reversal of 5760027728 is 8277200675.

It is a happy number.

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, 231308 + ... + 254996.

It is an arithmetic number, because the mean of its divisors is an integer number (172728528).

Almost surely, 25760027728 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 5760027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909141120).

5760027728 is an abundant number, since it is smaller than the sum of its proper divisors (8058254512).

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

5760027728 is a wasteful number, since it uses less digits than its factorization.

5760027728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23884 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 5760027728 is about 75894.8465180608. The cubic root of 5760027728 is about 1792.5647750162.

The spelling of 5760027728 in words is "five billion, seven hundred sixty million, twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 167 182 208 334 364 668 728 1169 1336 1456 2171 2338 2672 4342 4676 8684 9352 15197 17368 18704 23689 30394 34736 47378 60788 94756 121576 165823 189512 243152 307957 331646 379024 615914 663292 1231828 1326584 2155699 2463656 2653168 3956063 4311398 4927312 7912126 8622796 15824252 17245592 27692441 31648504 34491184 51428819 55384882 63297008 102857638 110769764 205715276 221539528 360001733 411430552 443079056 720003466 822861104 1440006932 2880013864 5760027728