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5802749568 = 2732711219313
BaseRepresentation
bin1010110011101111…
…01110111010000000
3112222101220012221200
411121313232322000
543341000441233
62355445021200
7263540362140
oct53167567200
915871805850
105802749568
112508556700
12115b3b4800
13716265135
143d0944920
1523e673313
hex159deee80

5802749568 has 576 divisors, whose sum is σ = 22150564800. Its totient is φ = 1423319040.

The previous prime is 5802749567. The next prime is 5802749569. The reversal of 5802749568 is 8659472085.

5802749568 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 74 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (5802749567) and next prime (5802749569).

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

It is not an unprimeable number, because it can be changed into a prime (5802749567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18538980 + ... + 18539292.

Almost surely, 25802749568 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 5802749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075282400).

5802749568 is an abundant number, since it is smaller than the sum of its proper divisors (16347815232).

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

5802749568 is a wasteful number, since it uses less digits than its factorization.

5802749568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5802749568 is about 76175.7807180209. The cubic root of 5802749568 is about 1796.9856511703.

The spelling of 5802749568 in words is "five billion, eight hundred two million, seven hundred forty-nine thousand, five hundred sixty-eight".