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5788468320 = 253512059309
BaseRepresentation
bin1010110010000010…
…10000010001100000
3112221102000122202120
411121001100101200
543323321441240
62354214544240
7263305111635
oct53101202140
915842018676
105788468320
112500491a18
121156668080
137133049ab
143ccaa818c
1523d2a1ad0
hex159050460

5788468320 has 48 divisors (see below), whose sum is σ = 18233676720. Its totient is φ = 1543591424.

The previous prime is 5788468297. The next prime is 5788468321. The reversal of 5788468320 is 238648875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5788468321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6029175 + ... + 6030134.

It is an arithmetic number, because the mean of its divisors is an integer number (379868265).

Almost surely, 25788468320 is an apocalyptic number.

It is an amenable number.

5788468320 is an abundant number, since it is smaller than the sum of its proper divisors (12445208400).

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

5788468320 is a wasteful number, since it uses less digits than its factorization.

5788468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12059327 (or 12059319 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 5788468320 is about 76081.9842012549. The cubic root of 5788468320 is about 1795.5102425644.

The spelling of 5788468320 in words is "five billion, seven hundred eighty-eight million, four hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12059309 24118618 36177927 48237236 60296545 72355854 96474472 120593090 144711708 180889635 192948944 241186180 289423416 361779270 385897888 482372360 578846832 723558540 964744720 1157693664 1447117080 1929489440 2894234160 5788468320