Search a number
-
+
4424315688 = 2333131792683
BaseRepresentation
bin1000001111011010…
…11011001100101000
3102102100010112011000
410013231123030220
533030111100223
62011004235000
7214432030362
oct40755331450
912370115130
104424315688
111970457951
12a3583ba60
135567c78a0
142dd847d32
151ad63d543
hex107b5b328

4424315688 has 128 divisors (see below), whose sum is σ = 14013820800. Its totient is φ = 1281235968.

The previous prime is 4424315681. The next prime is 4424315711. The reversal of 4424315688 is 8865134244.

4424315688 is a `hidden beast` number, since 4 + 42 + 43 + 1 + 568 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4424315681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395 + ... + 94077.

It is an arithmetic number, because the mean of its divisors is an integer number (109482975).

Almost surely, 24424315688 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 4424315688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006910400).

4424315688 is an abundant number, since it is smaller than the sum of its proper divisors (9589505112).

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

4424315688 is a wasteful number, since it uses less digits than its factorization.

4424315688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92728 (or 92718 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4424315688 is about 66515.5296754074. The cubic root of 4424315688 is about 1641.6555372186.

The spelling of 4424315688 in words is "four billion, four hundred twenty-four million, three hundred fifteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 92683 185366 278049 370732 556098 741464 834147 1112196 1204879 1575611 1668294 2224392 2409758 2502441 3151222 3336588 3614637 4726833 4819516 5004882 6302444 6673176 7229274 9453666 9639032 10009764 10843911 12604888 14180499 14458548 18907332 20019528 20482943 21687822 28360998 28917096 32531733 37814664 40965886 42541497 43375644 56721996 61448829 65063466 81931772 85082994 86751288 113443992 122897658 130126932 163863544 170165988 184346487 245795316 260253864 340331976 368692974 491590632 553039461 737385948 1106078922 1474771896 2212157844 4424315688