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20248384 = 261324337
BaseRepresentation
bin100110100111…
…1011101000000
31102002201120011
41031033131000
520140422014
62001554304
7334052122
oct115173500
942081504
1020248384
111047aa02
126945994
13426c4c0
142991212
151b9e7c4
hex134f740

20248384 has 28 divisors (see below), whose sum is σ = 43272964. Its totient is φ = 9345024.

The previous prime is 20248381. The next prime is 20248427. The reversal of 20248384 is 48384202.

It can be written as a sum of positive squares in 2 ways, for example, as 13897984 + 6350400 = 3728^2 + 2520^2 .

It is a super-3 number, since 3×202483843 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20248381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11337 + ... + 13000.

It is an arithmetic number, because the mean of its divisors is an integer number (1545463).

Almost surely, 220248384 is an apocalyptic number.

It is an amenable number.

20248384 is an abundant number, since it is smaller than the sum of its proper divisors (23024580).

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

20248384 is a wasteful number, since it uses less digits than its factorization.

20248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24362 (or 24352 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 20248384 is about 4499.8204408621. The cubic root of 20248384 is about 272.5608381964.

The spelling of 20248384 in words is "twenty million, two hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 24337 48674 97348 194696 316381 389392 632762 778784 1265524 1557568 2531048 5062096 10124192 20248384