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5707384256 = 26728145337
BaseRepresentation
bin1010101000010111…
…11100010111000000
3112201202110011100002
411110023330113000
543142042244011
62342201015132
7261301652150
oct52413742700
915652404302
105707384256
1124697402a2
1211334844a8
136cc585062
143c1ddc760
152360d6c3b
hex1542fc5c0

5707384256 has 56 divisors (see below), whose sum is σ = 12989881056. Its totient is φ = 2437263360.

The previous prime is 5707384247. The next prime is 5707384327. The reversal of 5707384256 is 6524837075.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 5707384256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103220 + ... + 148556.

Almost surely, 25707384256 is an apocalyptic number.

5707384256 is a gapful number since it is divisible by the number (56) 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 5707384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494940528).

5707384256 is an abundant number, since it is smaller than the sum of its proper divisors (7282496800).

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

5707384256 is a wasteful number, since it uses less digits than its factorization.

5707384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45637 (or 45627 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The square root of 5707384256 is about 75547.2319545859. The cubic root of 5707384256 is about 1787.0870358117.

The spelling of 5707384256 in words is "five billion, seven hundred seven million, three hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 281 448 562 1124 1967 2248 3934 4496 7868 8992 15736 17984 31472 45337 62944 90674 125888 181348 317359 362696 634718 725392 1269436 1450784 2538872 2901568 5077744 10155488 12739697 20310976 25479394 50958788 89177879 101917576 178355758 203835152 356711516 407670304 713423032 815340608 1426846064 2853692128 5707384256