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5355648 = 27324649
BaseRepresentation
bin10100011011100010000000
3101002002120100
4110123202000
52332340043
6310442400
763344064
oct24334200
911062510
105355648
113028861
121963400
13115692c
149d5aa4
1570bcd3
hex51b880

5355648 has 48 divisors (see below), whose sum is σ = 15414750. Its totient is φ = 1784832.

The previous prime is 5355643. The next prime is 5355667. The reversal of 5355648 is 8465535.

5355648 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 2286144 = 1752^2 + 1512^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (5355643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1173 + ... + 3476.

Almost surely, 25355648 is an apocalyptic number.

It is an amenable number.

5355648 is an abundant number, since it is smaller than the sum of its proper divisors (10059102).

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

5355648 is a wasteful number, since it uses less digits than its factorization.

5355648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4654 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5355648 is about 2314.2273008501. The cubic root of 5355648 is about 174.9594246065.

The spelling of 5355648 in words is "five million, three hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4649 9298 13947 18596 27894 37192 41841 55788 74384 83682 111576 148768 167364 223152 297536 334728 446304 595072 669456 892608 1338912 1785216 2677824 5355648