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5760001616 = 246110095849
BaseRepresentation
bin1010101110101001…
…01010011001010000
3112212102110101210012
411113110222121100
543244030022431
62351320454052
7262511130425
oct52724523120
915772411705
105760001616
112496409516
12114901a328
1370a4488a5
143c8db7d4c
1523aa2c22b
hex15752a650

5760001616 has 40 divisors (see below), whose sum is σ = 11356137000. Its totient is φ = 2829496320.

The previous prime is 5760001613. The next prime is 5760001631. The reversal of 5760001616 is 6161000675.

It can be written as a sum of positive squares in 4 ways, for example, as 47665216 + 5712336400 = 6904^2 + 75580^2 .

It is a super-2 number, since 2×57600016162 = 66355237232645222912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760001613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981860 + ... + 987708.

It is an arithmetic number, because the mean of its divisors is an integer number (283903425).

Almost surely, 25760001616 is an apocalyptic number.

It is an amenable number.

5760001616 is a deficient number, since it is larger than the sum of its proper divisors (5596135384).

5760001616 is a wasteful number, since it uses less digits than its factorization.

5760001616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 5760001616 is about 75894.6744903751. The cubic root of 5760001616 is about 1792.5620662606.

The spelling of 5760001616 in words is "five billion, seven hundred sixty million, one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 61 122 244 488 976 1009 2018 4036 5849 8072 11698 16144 23396 46792 61549 93584 123098 246196 356789 492392 713578 984784 1427156 2854312 5708624 5901641 11803282 23606564 47213128 94426256 360000101 720000202 1440000404 2880000808 5760001616