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5729036040 = 2336571317127
BaseRepresentation
bin1010101010111101…
…00010011100001000
3112210021012012000000
411111132202130020
543213113123130
62344253043000
7261654000660
oct52536423410
915707165000
105729036040
11247a989632
12113a786460
13703bc6270
143c4c371a0
15237e62260
hex1557a2708

5729036040 has 896 divisors, whose sum is σ = 25384181760. Its totient is φ = 1128701952.

The previous prime is 5729036021. The next prime is 5729036063. The reversal of 5729036040 is 406309275.

5729036040 is a `hidden beast` number, since 5 + 7 + 290 + 360 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5729035986 and 5729036004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45110457 + ... + 45110583.

It is an arithmetic number, because the mean of its divisors is an integer number (28330560).

Almost surely, 25729036040 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 5729036040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692090880).

5729036040 is an abundant number, since it is smaller than the sum of its proper divisors (19655145720).

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

5729036040 is a wasteful number, since it uses less digits than its factorization.

5729036040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5729036040 is about 75690.3959561581. The cubic root of 5729036040 is about 1789.3440414542.

The spelling of 5729036040 in words is "five billion, seven hundred twenty-nine million, thirty-six thousand, forty".