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4493074752 = 26334495791
BaseRepresentation
bin1000010111100111…
…01110000101000000
3102121010111211212000
410023303232011000
533200211343002
62021502104000
7216225335205
oct41363560500
912533454760
104493074752
1119a6250621
12a5487b000
13567b2061a
14308a25cac
151b46c161c
hex10bcee140

4493074752 has 112 divisors (see below), whose sum is σ = 13240512000. Its totient is φ = 1494097920.

The previous prime is 4493074727. The next prime is 4493074763. The reversal of 4493074752 is 2574703944.

It is a junction number, because it is equal to n+sod(n) for n = 4493074698 and 4493074707.

It is a congruent number.

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, 772977 + ... + 778767.

Almost surely, 24493074752 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 4493074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620256000).

4493074752 is an abundant number, since it is smaller than the sum of its proper divisors (8747437248).

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

4493074752 is a wasteful number, since it uses less digits than its factorization.

4493074752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4493074752 is about 67030.4016995274. The cubic root of 4493074752 is about 1650.1162761033.

The spelling of 4493074752 in words is "four billion, four hundred ninety-three million, seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 449 576 864 898 1347 1728 1796 2694 3592 4041 5388 5791 7184 8082 10776 11582 12123 14368 16164 17373 21552 23164 24246 28736 32328 34746 43104 46328 48492 52119 64656 69492 86208 92656 96984 104238 129312 138984 156357 185312 193968 208476 258624 277968 312714 370624 387936 416952 555936 625428 775872 833904 1111872 1250856 1667808 2501712 2600159 3335616 5003424 5200318 7800477 10006848 10400636 15600954 20801272 23401431 31201908 41602544 46802862 62403816 70204293 83205088 93605724 124807632 140408586 166410176 187211448 249615264 280817172 374422896 499230528 561634344 748845792 1123268688 1497691584 2246537376 4493074752