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5729764000 = 25531432441
BaseRepresentation
bin1010101011000010…
…10100001010100000
3112210022120011120111
411111201110022200
543213304422000
62344320421104
7261663122212
oct52541241240
915708504514
105729764000
112480336554
12113aa77794
137040bc6cc
143c4d865b2
15238057cba
hex1558542a0

5729764000 has 48 divisors (see below), whose sum is σ = 14078039976. Its totient is φ = 2291904000.

The previous prime is 5729763973. The next prime is 5729764009. The reversal of 5729764000 is 4679275.

It can be written as a sum of positive squares in 4 ways, for example, as 3668967184 + 2060796816 = 60572^2 + 45396^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5729764009) 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, 712221 + ... + 720220.

Almost surely, 25729764000 is an apocalyptic number.

5729764000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5729764000 is an abundant number, since it is smaller than the sum of its proper divisors (8348275976).

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

5729764000 is a wasteful number, since it uses less digits than its factorization.

5729764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432466 (or 1432448 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 5729764000 is about 75695.2046037264. The cubic root of 5729764000 is about 1789.4198259150.

The spelling of 5729764000 in words is "five billion, seven hundred twenty-nine million, seven hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1432441 2864882 5729764 7162205 11459528 14324410 22919056 28648820 35811025 45838112 57297640 71622050 114595280 143244100 179055125 229190560 286488200 358110250 572976400 716220500 1145952800 1432441000 2864882000 5729764000