Search a number
-
+
4264280256 = 263199233479
BaseRepresentation
bin1111111000101011…
…1100000011000000
3102000011222212210210
43332022330003000
532213123432011
61543050154120
7210446532645
oct37612740300
912004885723
104264280256
111899090965
129b0122940
1352c5c3c72
142c64a9dcc
1519e57a6a6
hexfe2bc0c0

4264280256 has 112 divisors (see below), whose sum is σ = 11411712000. Its totient is φ = 1405274112.

The previous prime is 4264280239. The next prime is 4264280261. The reversal of 4264280256 is 6520824624.

It is a super-2 number, since 2×42642802562 = 36368172203422851072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8902225 + ... + 8902703.

Almost surely, 24264280256 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 4264280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705856000).

4264280256 is an abundant number, since it is smaller than the sum of its proper divisors (7147431744).

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

4264280256 is a wasteful number, since it uses less digits than its factorization.

4264280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4264280256 is about 65301.4567678241. The cubic root of 4264280256 is about 1621.6180875978.

The spelling of 4264280256 in words is "four billion, two hundred sixty-four million, two hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 233 398 466 479 597 699 796 932 958 1194 1398 1437 1592 1864 1916 2388 2796 2874 3184 3728 3832 4776 5592 5748 6368 7456 7664 9552 11184 11496 12736 14912 15328 19104 22368 22992 30656 38208 44736 45984 46367 91968 92734 95321 111607 139101 185468 190642 223214 278202 285963 334821 370936 381284 446428 556404 571926 669642 741872 762568 892856 1112808 1143852 1339284 1483744 1525136 1785712 2225616 2287704 2678568 2967488 3050272 3571424 4451232 4575408 5357136 6100544 7142848 8902464 9150816 10714272 18301632 21428544 22209793 44419586 66629379 88839172 133258758 177678344 266517516 355356688 533035032 710713376 1066070064 1421426752 2132140128 4264280256