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4299965472 = 253115376829
BaseRepresentation
bin1000000000100110…
…00100010000100000
3102002200010212201110
410000103010100200
532301242343342
61550403103320
7211362050325
oct40023042040
912080125643
104299965472
111907244780
12a00071b40
13536b0988a
142cb118b4c
151a2778c9c
hex1004c4420

4299965472 has 96 divisors (see below), whose sum is σ = 12546031680. Its totient is φ = 1278417920.

The previous prime is 4299965447. The next prime is 4299965503. The reversal of 4299965472 is 2745699924.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17554 + ... + 94382.

It is an arithmetic number, because the mean of its divisors is an integer number (130687830).

Almost surely, 24299965472 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 4299965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273015840).

4299965472 is an abundant number, since it is smaller than the sum of its proper divisors (8246066208).

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

4299965472 is a wasteful number, since it uses less digits than its factorization.

4299965472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76906 (or 76898 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 4299965472 is about 65574.1219689597. The cubic root of 4299965472 is about 1626.1289791767.

The spelling of 4299965472 in words is "four billion, two hundred ninety-nine million, nine hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 27984 55968 76829 153658 230487 307316 460974 614632 845119 921948 1229264 1690238 1843896 2458528 2535357 3380476 3687792 4071937 5070714 6760952 7375584 8143874 10141428 12215811 13521904 16287748 20282856 24431622 27043808 32575496 40565712 44791307 48863244 65150992 81131424 89582614 97726488 130301984 134373921 179165228 195452976 268747842 358330456 390905952 537495684 716660912 1074991368 1433321824 2149982736 4299965472