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5646768 = 243472503
BaseRepresentation
bin10101100010100110110000
3101121212220120
4111202212300
52421144033
6321010240
765665611
oct25424660
911555816
105646768
113207556
121a83980
1312292aa
14a6dc08
157681b3
hex5629b0

5646768 has 40 divisors (see below), whose sum is σ = 14903808. Its totient is φ = 1841472.

The previous prime is 5646763. The next prime is 5646791. The reversal of 5646768 is 8676465.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5646763) 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, 1005 + ... + 3507.

Almost surely, 25646768 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 5646768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451904).

5646768 is an abundant number, since it is smaller than the sum of its proper divisors (9257040).

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

5646768 is a wasteful number, since it uses less digits than its factorization.

5646768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2555 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 5646768 is about 2376.2929112380. The cubic root of 5646768 is about 178.0737816421.

The spelling of 5646768 in words is "five million, six hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 2503 5006 7509 10012 15018 20024 30036 40048 60072 117641 120144 235282 352923 470564 705846 941128 1411692 1882256 2823384 5646768