Search a number
-
+
4064992032 = 2532311631583
BaseRepresentation
bin1111001001001010…
…1101101100100000
3101111021222222202110
43302102231230200
531311114221112
61511210515320
7202506601503
oct36222555440
911437888673
104064992032
1117a6644752
12955435b40
134ca22893a
142a7c3113a
1518bd1213c
hexf24adb20

4064992032 has 96 divisors (see below), whose sum is σ = 11151157248. Its totient is φ = 1294151936.

The previous prime is 4064992007. The next prime is 4064992073. The reversal of 4064992032 is 2302994604.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2567113 + ... + 2568695.

It is an arithmetic number, because the mean of its divisors is an integer number (116157888).

Almost surely, 24064992032 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 4064992032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575578624).

4064992032 is an abundant number, since it is smaller than the sum of its proper divisors (7086165216).

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

4064992032 is a wasteful number, since it uses less digits than its factorization.

4064992032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4064992032 is about 63757.2900302389. The cubic root of 4064992032 is about 1595.9522727419.

The spelling of 4064992032 in words is "four billion, sixty-four million, nine hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1163 1583 2208 2326 3166 3489 4652 4749 6332 6978 9304 9498 12664 13956 18608 18996 25328 26749 27912 36409 37216 37992 50656 53498 55824 72818 75984 80247 106996 109227 111648 145636 151968 160494 213992 218454 291272 320988 427984 436908 582544 641976 855968 873816 1165088 1283952 1747632 1841029 2567904 3495264 3682058 5523087 7364116 11046174 14728232 22092348 29456464 42343667 44184696 58912928 84687334 88369392 127031001 169374668 176738784 254062002 338749336 508124004 677498672 1016248008 1354997344 2032496016 4064992032