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4298823072 = 253231598161
BaseRepresentation
bin1000000000011101…
…01101010110100000
3102002120222211122100
410000032231112200
532300444314242
61550322410400
7211346251605
oct40016552640
912076884570
104298823072
111906634445
129bb800a00
135367c98bb
142cacdc6ac
151a260054c
hex1003ad5a0

4298823072 has 144 divisors (see below), whose sum is σ = 12834581760. Its totient is φ = 1363046400.

The previous prime is 4298823071. The next prime is 4298823079. The reversal of 4298823072 is 2703288924.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4298823071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522672 + ... + 530832.

It is an arithmetic number, because the mean of its divisors is an integer number (89129040).

Almost surely, 24298823072 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 4298823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417290880).

4298823072 is an abundant number, since it is smaller than the sum of its proper divisors (8535758688).

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

4298823072 is a wasteful number, since it uses less digits than its factorization.

4298823072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4298823072 is about 65565.4106370120. The cubic root of 4298823072 is about 1625.9849583082.

The spelling of 4298823072 in words is "four billion, two hundred ninety-eight million, eight hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 59 62 72 93 96 118 124 144 177 186 236 248 279 288 354 372 472 496 531 558 708 744 944 992 1062 1116 1416 1488 1829 1888 2124 2232 2832 2976 3658 4248 4464 5487 5664 7316 8161 8496 8928 10974 14632 16322 16461 16992 21948 24483 29264 32644 32922 43896 48966 58528 65288 65844 73449 87792 97932 130576 131688 146898 175584 195864 252991 261152 263376 293796 391728 481499 505982 526752 587592 758973 783456 962998 1011964 1175184 1444497 1517946 1925996 2023928 2276919 2350368 2888994 3035892 3851992 4047856 4333491 4553838 5777988 6071784 7703984 8095712 8666982 9107676 11555976 12143568 14926469 15407968 17333964 18215352 23111952 24287136 29852938 34667928 36430704 44779407 46223904 59705876 69335856 72861408 89558814 119411752 134338221 138671712 179117628 238823504 268676442 358235256 477647008 537352884 716470512 1074705768 1432941024 2149411536 4298823072