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4582673472 = 263134793833
BaseRepresentation
bin1000100010010011…
…00000110001000000
3102211101002221012010
410101021200301000
533341131022342
62034422332520
7221364040026
oct42111406100
912741087163
104582673472
111a41888453
12a7a88a140
13580561a10
143168aa716
151bc4be29c
hex111260c40

4582673472 has 112 divisors (see below), whose sum is σ = 13088355840. Its totient is φ = 1406742528.

The previous prime is 4582673423. The next prime is 4582673483. The reversal of 4582673472 is 2743762854.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1193668 + ... + 1197500.

It is an arithmetic number, because the mean of its divisors is an integer number (116860320).

Almost surely, 24582673472 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 4582673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544177920).

4582673472 is an abundant number, since it is smaller than the sum of its proper divisors (8505682368).

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

4582673472 is a wasteful number, since it uses less digits than its factorization.

4582673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 4582673472 is about 67695.4464642933. The cubic root of 4582673472 is about 1661.0127695075.

The spelling of 4582673472 in words is "four billion, five hundred eighty-two million, six hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 479 624 832 958 1248 1437 1916 2496 2874 3832 3833 5748 6227 7664 7666 11496 11499 12454 15328 15332 18681 22992 22998 24908 30656 30664 37362 45984 45996 49816 49829 61328 74724 91968 91992 99632 99658 122656 149448 149487 183984 199264 199316 245312 298896 298974 367968 398528 398632 597792 597948 735936 797264 1195584 1195896 1594528 1836007 2391792 3189056 3672014 4783584 5508021 7344028 9567168 11016042 14688056 22032084 23868091 29376112 44064168 47736182 58752224 71604273 88128336 95472364 117504448 143208546 176256672 190944728 286417092 352513344 381889456 572834184 763778912 1145668368 1527557824 2291336736 4582673472