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5448864 = 253211269
BaseRepresentation
bin10100110010010010100000
3101020211102210
4110302102200
52343330424
6312442120
764212621
oct24622240
911224383
105448864
1130918a3
1219a9340
13118a1a5
14a1ba48
15729729
hex5324a0

5448864 has 48 divisors (see below), whose sum is σ = 14424480. Its totient is φ = 1800960.

The previous prime is 5448853. The next prime is 5448869. The reversal of 5448864 is 4688445.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5448869) 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, 20122 + ... + 20390.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 25448864 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 5448864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212240).

5448864 is an abundant number, since it is smaller than the sum of its proper divisors (8975616).

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

5448864 is a wasteful number, since it uses less digits than its factorization.

5448864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 5448864 is about 2334.2801888377. The cubic root of 5448864 is about 175.9686583309.

The spelling of 5448864 in words is "five million, four hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 269 422 538 633 807 844 1076 1266 1614 1688 2152 2532 3228 3376 4304 5064 6456 6752 8608 10128 12912 20256 25824 56759 113518 170277 227036 340554 454072 681108 908144 1362216 1816288 2724432 5448864