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5738084352 = 2113271113311
BaseRepresentation
bin1010101100000010…
…00011100000000000
3112210220012212221200
411112001003200000
543222422144402
62345215021200
7262123624620
oct52601034000
915726185850
105738084352
112484aa9780
12114180a800
13705a438b0
143c6110880
15238b4d21c
hex156043800

5738084352 has 576 divisors, whose sum is σ = 22322926080. Its totient is φ = 1371340800.

The previous prime is 5738084329. The next prime is 5738084369. The reversal of 5738084352 is 2534808375.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×57380843522 = 65851224061334519808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5738084298 and 5738084307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18450277 + ... + 18450587.

It is an arithmetic number, because the mean of its divisors is an integer number (38755080).

Almost surely, 25738084352 is an apocalyptic number.

5738084352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5738084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161463040).

5738084352 is an abundant number, since it is smaller than the sum of its proper divisors (16584841728).

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

5738084352 is a wasteful number, since it uses less digits than its factorization.

5738084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5738084352 is about 75750.1442374864. The cubic root of 5738084352 is about 1790.2855626723.

The spelling of 5738084352 in words is "five billion, seven hundred thirty-eight million, eighty-four thousand, three hundred fifty-two".