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4256871424 = 21013893593
BaseRepresentation
bin1111110110111010…
…1011010000000000
3101222200001110210121
43331232223100000
532204224341144
61542223310024
7210326544601
oct37556532000
911880043717
104256871424
111894990563
129a974b314
1352abcb940
142c54dbda8
1519dab5384
hexfdbab400

4256871424 has 88 divisors (see below), whose sum is σ = 9269716680. Its totient is φ = 1942093824.

The previous prime is 4256871419. The next prime is 4256871431. The reversal of 4256871424 is 4241786524.

4256871424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 4240614400 = 4032^2 + 65120^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 1182972 + ... + 1186564.

Almost surely, 24256871424 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 4256871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634858340).

4256871424 is an abundant number, since it is smaller than the sum of its proper divisors (5012845256).

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

4256871424 is a wasteful number, since it uses less digits than its factorization.

4256871424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3697 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 4256871424 is about 65244.7041835581. The cubic root of 4256871424 is about 1620.6784010288.

Adding to 4256871424 its product of digits (430080), we get a square (4257301504 = 652482).

The spelling of 4256871424 in words is "four billion, two hundred fifty-six million, eight hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 356 416 512 712 832 1024 1157 1424 1664 2314 2848 3328 3593 4628 5696 6656 7186 9256 11392 13312 14372 18512 22784 28744 37024 45568 46709 57488 74048 91136 93418 114976 148096 186836 229952 296192 319777 373672 459904 592384 639554 747344 919808 1184768 1279108 1494688 1839616 2558216 2989376 3679232 4157101 5116432 5978752 8314202 10232864 11957504 16628404 20465728 23915008 33256808 40931456 47830016 66513616 81862912 133027232 163725824 266054464 327451648 532108928 1064217856 2128435712 4256871424