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5787425280 = 293573133
BaseRepresentation
bin1010110001111010…
…10001101000000000
3112221100001122222110
411120331101220000
543323040102110
62354140335320
7263263206000
oct53075215000
915840048873
105787425280
1124aa93a2aa
121156244540
1371302b000
143cc8b6000
1523d147a20
hex158f51a00

5787425280 has 640 divisors, whose sum is σ = 23373504000. Its totient is φ = 1221083136.

The previous prime is 5787425269. The next prime is 5787425297. The reversal of 5787425280 is 825247875.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 445186554 + ... + 445186566.

It is an arithmetic number, because the mean of its divisors is an integer number (36521100).

Almost surely, 25787425280 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 5787425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686752000).

5787425280 is an abundant number, since it is smaller than the sum of its proper divisors (17586078720).

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

5787425280 is an frugal number, since it uses more digits than its factorization.

5787425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The square root of 5787425280 is about 76075.1291816189. The cubic root of 5787425280 is about 1795.4023901126.

The spelling of 5787425280 in words is "five billion, seven hundred eighty-seven million, four hundred twenty-five thousand, two hundred eighty".