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5793540480 = 2732572131579
BaseRepresentation
bin1010110010101001…
…00110100110000000
3112221202120100110100
411121110212212000
543331121243410
62354515402400
7263366165400
oct53124464600
915852510410
105793540480
112503336792
1211582b3400
1371438c580
143cd628800
1523d9548c0
hex159526980

5793540480 has 576 divisors, whose sum is σ = 25078107600. Its totient is φ = 1221599232.

The previous prime is 5793540479. The next prime is 5793540481. The reversal of 5793540480 is 840453975.

5793540480 is a `hidden beast` number, since 579 + 35 + 4 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5793540479) and next prime (5793540481).

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

It is a super-2 number, since 2×57935404802 = 67130222586797260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5793540481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668331 + ... + 3669909.

Almost surely, 25793540480 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 5793540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539053800).

5793540480 is an abundant number, since it is smaller than the sum of its proper divisors (19284567120).

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

5793540480 is a wasteful number, since it uses less digits than its factorization.

5793540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5793540480 is about 76115.3104178128. The cubic root of 5793540480 is about 1796.0345295881.

The spelling of 5793540480 in words is "five billion, seven hundred ninety-three million, five hundred forty thousand, four hundred eighty".