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20624648 = 2311713301
BaseRepresentation
bin100111010101…
…1010100001000
31102210211200212
41032223110020
520234442043
62014020252
7340210112
oct116532410
942724625
1020624648
1110707670
126aa7688
134371845
142a4c3b2
151c26018
hex13ab508

20624648 has 32 divisors (see below), whose sum is σ = 42793920. Its totient is φ = 9240000.

The previous prime is 20624623. The next prime is 20624657. The reversal of 20624648 is 84642602.

It is a happy number.

It is a super-2 number, since 2×206246482 = 850752210247808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4598 + ... + 7898.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 220624648 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 20624648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

20624648 is an abundant number, since it is smaller than the sum of its proper divisors (22169272).

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

20624648 is a wasteful number, since it uses less digits than its factorization.

20624648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 20624648 is about 4541.4367770564. The cubic root of 20624648 is about 274.2387674900.

The spelling of 20624648 in words is "twenty million, six hundred twenty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 3301 6248 6602 13204 26408 36311 72622 145244 234371 290488 468742 937484 1874968 2578081 5156162 10312324 20624648