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4226020032 = 263138320399
BaseRepresentation
bin1111101111100011…
…1111001011000000
3101220112000001122110
43323320333023000
532123330120112
61535202135320
7206503402053
oct37370771300
911815001573
104226020032
111879529443
1299b351540
135246b9290
142c138aa9a
1519b01e13c
hexfbe3f2c0

4226020032 has 112 divisors (see below), whose sum is σ = 12187123200. Its totient is φ = 1284584448.

The previous prime is 4226020027. The next prime is 4226020067. The reversal of 4226020032 is 2300206224.

It is a junction number, because it is equal to n+sod(n) for n = 4226019990 and 4226020008.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 196969 + ... + 217367.

It is an arithmetic number, because the mean of its divisors is an integer number (108813600).

Almost surely, 24226020032 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 4226020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093561600).

4226020032 is an abundant number, since it is smaller than the sum of its proper divisors (7961103168).

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

4226020032 is a wasteful number, since it uses less digits than its factorization.

4226020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20510 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4226020032 is about 65007.8459264726. The cubic root of 4226020032 is about 1616.7536513417.

Adding to 4226020032 its reverse (2300206224), we get a palindrome (6526226256).

The spelling of 4226020032 in words is "four billion, two hundred twenty-six million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 208 249 312 332 416 498 624 664 832 996 1079 1248 1328 1992 2158 2496 2656 3237 3984 4316 5312 6474 7968 8632 12948 15936 17264 20399 25896 34528 40798 51792 61197 69056 81596 103584 122394 163192 207168 244788 265187 326384 489576 530374 652768 795561 979152 1060748 1305536 1591122 1693117 1958304 2121496 3182244 3386234 3916608 4242992 5079351 6364488 6772468 8485984 10158702 12728976 13544936 16971968 20317404 22010521 25457952 27089872 40634808 44021042 50915904 54179744 66031563 81269616 88042084 108359488 132063126 162539232 176084168 264126252 325078464 352168336 528252504 704336672 1056505008 1408673344 2113010016 4226020032