Search a number
-
+
5622826048 = 267210091777
BaseRepresentation
bin1010011110010010…
…11000010001000000
3112111212100011021121
411033021120101000
543003420413143
62325540402024
7256224142600
oct51711302100
915455304247
105622826048
112425a36484
12110b0a6314
136b7bba008
143b4aaac00
1522d9827ed
hex14f258440

5622826048 has 84 divisors (see below), whose sum is σ = 12999651420. Its totient is φ = 2406039552.

The previous prime is 5622826019. The next prime is 5622826051. The reversal of 5622826048 is 8406282265.

It can be written as a sum of positive squares in 2 ways, for example, as 2276434944 + 3346391104 = 47712^2 + 57848^2 .

It is a super-3 number, since 3×56228260483 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5622825995 and 5622826013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3163336 + ... + 3165112.

It is an arithmetic number, because the mean of its divisors is an integer number (154757755).

Almost surely, 25622826048 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 5622826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499825710).

5622826048 is an abundant number, since it is smaller than the sum of its proper divisors (7376825372).

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

5622826048 is a wasteful number, since it uses less digits than its factorization.

5622826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 5622826048 is about 74985.5055860798. The cubic root of 5622826048 is about 1778.2175111582.

The spelling of 5622826048 in words is "five billion, six hundred twenty-two million, eight hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1009 1568 1777 2018 3136 3554 4036 7063 7108 8072 12439 14126 14216 16144 24878 28252 28432 32288 49441 49756 56504 56864 64576 87073 98882 99512 113008 113728 174146 197764 199024 226016 348292 395528 398048 452032 696584 791056 796096 1393168 1582112 1792993 2786336 3164224 3585986 5572672 7171972 12550951 14343944 25101902 28687888 50203804 57375776 87856657 100407608 114751552 175713314 200815216 351426628 401630432 702853256 803260864 1405706512 2811413024 5622826048