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4249980576 = 2535737487
BaseRepresentation
bin1111110101010001…
…1000111010100000
3101222012002101100000
43331110120322200
532200443334301
61541415500000
7210214144632
oct37524307240
911865071300
104249980576
111891004346
129a7387600
1352965830a
142c4626a52
1519d1a3786
hexfd518ea0

4249980576 has 144 divisors (see below), whose sum is σ = 12706896384. Its totient is φ = 1397067264.

The previous prime is 4249980547. The next prime is 4249980587. The reversal of 4249980576 is 6750899424.

4249980576 is a `hidden beast` number, since 4 + 2 + 499 + 80 + 5 + 76 = 666.

4249980576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563905 + ... + 571391.

It is an arithmetic number, because the mean of its divisors is an integer number (88242336).

Almost surely, 24249980576 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 4249980576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353448192).

4249980576 is an abundant number, since it is smaller than the sum of its proper divisors (8456915808).

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

4249980576 is an equidigital number, since it uses as much as digits as its factorization.

4249980576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7565 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4249980576 is about 65191.8750765768. The cubic root of 4249980576 is about 1619.8034329401.

The spelling of 4249980576 in words is "four billion, two hundred forty-nine million, nine hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 243 288 292 324 432 438 486 584 648 657 864 876 972 1168 1296 1314 1752 1944 1971 2336 2592 2628 3504 3888 3942 5256 5913 7008 7487 7776 7884 10512 11826 14974 15768 17739 21024 22461 23652 29948 31536 35478 44922 47304 59896 63072 67383 70956 89844 94608 119792 134766 141912 179688 189216 202149 239584 269532 283824 359376 404298 539064 546551 567648 606447 718752 808596 1078128 1093102 1212894 1617192 1639653 1819341 2156256 2186204 2425788 3234384 3279306 3638682 4372408 4851576 4918959 6468768 6558612 7277364 8744816 9703152 9837918 13117224 14554728 14756877 17489632 19406304 19675836 26234448 29109456 29513754 39351672 44270631 52468896 58218912 59027508 78703344 88541262 118055016 132811893 157406688 177082524 236110032 265623786 354165048 472220064 531247572 708330096 1062495144 1416660192 2124990288 4249980576