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5655456 = 253273269
BaseRepresentation
bin10101100100101110100000
3101122022211100
4111210232200
52421433311
6321114400
766033132
oct25445640
911568740
105655456
113213034
121a88a00
131230231
14a73052
1576aa56
hex564ba0

5655456 has 72 divisors (see below), whose sum is σ = 16363620. Its totient is φ = 1852416.

The previous prime is 5655451. The next prime is 5655467. The reversal of 5655456 is 6545565.

It is a happy number.

5655456 is a `hidden beast` number, since 56 + 554 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 291600 = 2316^2 + 540^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5655456.

It is not an unprimeable number, because it can be changed into a prime (5655451) 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, 20890 + ... + 21158.

Almost surely, 25655456 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 5655456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181810).

5655456 is an abundant number, since it is smaller than the sum of its proper divisors (10708164).

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

5655456 is a wasteful number, since it uses less digits than its factorization.

5655456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 5655456 is about 2378.1202660925. The cubic root of 5655456 is about 178.1650617186.

The spelling of 5655456 in words is "five million, six hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 269 288 292 438 538 584 657 807 876 1076 1168 1314 1614 1752 2152 2336 2421 2628 3228 3504 4304 4842 5256 6456 7008 8608 9684 10512 12912 19368 19637 21024 25824 38736 39274 58911 77472 78548 117822 157096 176733 235644 314192 353466 471288 628384 706932 942576 1413864 1885152 2827728 5655456