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5443040256 = 210312831381
BaseRepresentation
bin1010001000110111…
…00011010000000000
3112001100001002112120
411010123203100000
542121404242011
62300035124240
7251612036013
oct50433432000
915040032476
105443040256
1123434aa785
12107aa43680
1368988c7a4
14398c6b37a
1521ccbca06
hex1446e3400

5443040256 has 88 divisors (see below), whose sum is σ = 14529507744. Its totient is φ = 1811619840.

The previous prime is 5443040209. The next prime is 5443040261. The reversal of 5443040256 is 6520403445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3940686 + ... + 3942066.

Almost surely, 25443040256 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 5443040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264753872).

5443040256 is an abundant number, since it is smaller than the sum of its proper divisors (9086467488).

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

5443040256 is a wasteful number, since it uses less digits than its factorization.

5443040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 5443040256 is about 73776.9629084852. The cubic root of 5443040256 is about 1759.0594423518.

The spelling of 5443040256 in words is "five billion, four hundred forty-three million, forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1283 1381 1536 2566 2762 3072 3849 4143 5132 5524 7698 8286 10264 11048 15396 16572 20528 22096 30792 33144 41056 44192 61584 66288 82112 88384 123168 132576 164224 176768 246336 265152 328448 353536 492672 530304 656896 707072 985344 1060608 1313792 1414144 1771823 1970688 2121216 3543646 3941376 4242432 5315469 7087292 10630938 14174584 21261876 28349168 42523752 56698336 85047504 113396672 170095008 226793344 340190016 453586688 680380032 907173376 1360760064 1814346752 2721520128 5443040256