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5147648 = 21011457
BaseRepresentation
bin10011101000110000000000
3100200112020122
4103220300000
52304211043
6302155412
761516502
oct23506000
910615218
105147648
1129a6560
121882b68
1310b305c
1497dd72
156ba368
hex4e8c00

5147648 has 44 divisors (see below), whose sum is σ = 11250312. Its totient is φ = 2334720.

The previous prime is 5147647. The next prime is 5147657. The reversal of 5147648 is 8467415.

5147648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (5147647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11036 + ... + 11492.

Almost surely, 25147648 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 5147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625156).

5147648 is an abundant number, since it is smaller than the sum of its proper divisors (6102664).

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

5147648 is a wasteful number, since it uses less digits than its factorization.

5147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 470 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 5147648 is about 2268.8428768868. The cubic root of 5147648 is about 172.6644570377.

The spelling of 5147648 in words is "five million, one hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 457 512 704 914 1024 1408 1828 2816 3656 5027 5632 7312 10054 11264 14624 20108 29248 40216 58496 80432 116992 160864 233984 321728 467968 643456 1286912 2573824 5147648