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5764307472 = 24327211233229
BaseRepresentation
bin1010101111001010…
…00101101000010000
3112212201120011022100
411113211011220100
543301130314342
62351553040400
7262562543100
oct52745055020
915781504270
105764307472
11249888a580
12114a556100
1370b2c5731
143c97b9200
1523b0cce4c
hex157945a10

5764307472 has 360 divisors, whose sum is σ = 21368543040. Its totient is φ = 1431682560.

The previous prime is 5764307447. The next prime is 5764307477. The reversal of 5764307472 is 2747034675.

5764307472 is a `hidden beast` number, since 576 + 4 + 3 + 0 + 7 + 4 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (5764307477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1783554 + ... + 1786782.

It is an arithmetic number, because the mean of its divisors is an integer number (59357064).

Almost surely, 25764307472 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 5764307472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684271520).

5764307472 is an abundant number, since it is smaller than the sum of its proper divisors (15604235568).

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

5764307472 is a wasteful number, since it uses less digits than its factorization.

5764307472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 5764307472 is about 75923.0365040809. The cubic root of 5764307472 is about 1793.0086281501.

It can be divided in two parts, 5764 and 307472, that added together give a triangular number (313236 = T791).

The spelling of 5764307472 in words is "five billion, seven hundred sixty-four million, three hundred seven thousand, four hundred seventy-two".