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5716512 = 253223863
BaseRepresentation
bin10101110011101000100000
3101202102120200
4111303220200
52430412022
6322305200
766406134
oct25635040
911672520
105716512
11325499a
121ab8200
131251c69
14a8b3c4
1577dbac
hex573a20

5716512 has 72 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1820544.

The previous prime is 5716483. The next prime is 5716517. The reversal of 5716512 is 2156175.

5716512 is a `hidden beast` number, since 5 + 7 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×57165122 = 65357018892288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5716517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6193 + ... + 7055.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 25716512 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 5716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5716512 is an abundant number, since it is smaller than the sum of its proper divisors (11266272).

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

5716512 is a wasteful number, since it uses less digits than its factorization.

5716512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5716512 is about 2390.9228343884. The cubic root of 5716512 is about 178.8039216593.

The spelling of 5716512 in words is "five million, seven hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 863 1104 1656 1726 2208 2589 3312 3452 5178 6624 6904 7767 10356 13808 15534 19849 20712 27616 31068 39698 41424 59547 62136 79396 82848 119094 124272 158792 178641 238188 248544 317584 357282 476376 635168 714564 952752 1429128 1905504 2858256 5716512