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4025613824 = 2923289167
BaseRepresentation
bin1110111111110001…
…1111111000000000
3101101112220101000022
43233330133320000
531221024120244
61503242513012
7201521103311
oct35774377000
911345811008
104025613824
111786399281
12944205768
134c201c11b
142a2900608
151886346ee
hexeff1fe00

4025613824 has 120 divisors (see below), whose sum is σ = 8553671280. Its totient is φ = 1892261888.

The previous prime is 4025613799. The next prime is 4025613827. The reversal of 4025613824 is 4283165204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4025613827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24105389 + ... + 24105555.

It is an arithmetic number, because the mean of its divisors is an integer number (71280594).

Almost surely, 24025613824 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 4025613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276835640).

4025613824 is an abundant number, since it is smaller than the sum of its proper divisors (4528057456).

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

4025613824 is an equidigital number, since it uses as much as digits as its factorization.

4025613824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4025613824 is about 63447.7251286443. The cubic root of 4025613824 is about 1590.7821296079.

The spelling of 4025613824 in words is "four billion, twenty-five million, six hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 167 178 184 256 334 356 368 512 529 668 712 736 1058 1336 1424 1472 2047 2116 2672 2848 2944 3841 4094 4232 5344 5696 5888 7682 8188 8464 10688 11392 11776 14863 15364 16376 16928 21376 22784 29726 30728 32752 33856 42752 45568 47081 59452 61456 65504 67712 85504 88343 94162 118904 122912 131008 135424 176686 188324 237808 245824 262016 270848 341849 353372 376648 475616 491648 524032 683698 706744 753296 951232 983296 1048064 1367396 1413488 1506592 1902464 1966592 2734792 2826976 3013184 3804928 5469584 5653952 6026368 7609856 7862527 10939168 11307904 12052736 15725054 21878336 22615808 24105472 31450108 43756672 45231616 62900216 87513344 125800432 175026688 251600864 503201728 1006403456 2012806912 4025613824