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5458682304 = 263219349103
BaseRepresentation
bin1010001010101110…
…01110000111000000
3112002102110210101200
411011113032013000
542134410313204
62301354301200
7252162014445
oct50527160700
915072423350
105458682304
112351313899
121084127800
1368cba843a
1439ad7d9cc
1521e35c539
hex1455ce1c0

5458682304 has 84 divisors (see below), whose sum is σ = 15727716576. Its totient is φ = 1810096128.

The previous prime is 5458682297. The next prime is 5458682351. The reversal of 5458682304 is 4032868545.

5458682304 is a `hidden beast` number, since 545 + 86 + 8 + 23 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5458682304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86617 + ... + 135719.

Almost surely, 25458682304 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 5458682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863858288).

5458682304 is an abundant number, since it is smaller than the sum of its proper divisors (10269034272).

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

5458682304 is a wasteful number, since it uses less digits than its factorization.

5458682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49314 (or 49301 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5458682304 is about 73882.8958826060. The cubic root of 5458682304 is about 1760.7428751024.

The spelling of 5458682304 in words is "five billion, four hundred fifty-eight million, six hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 27792 37056 49103 55584 98206 111168 147309 196412 294618 392824 441927 589236 785648 883854 1178472 1571296 1767708 2356944 3142592 3535416 4713888 7070832 9427776 9476879 14141664 18953758 28283328 28430637 37907516 56861274 75815032 85291911 113722548 151630064 170583822 227445096 303260128 341167644 454890192 606520256 682335288 909780384 1364670576 1819560768 2729341152 5458682304