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48388384 = 2511212497
BaseRepresentation
bin1011100010010…
…1100100100000
310101001101101101
42320211210200
544341412014
64445044144
71125203002
oct270454440
9111041341
1048388384
112534aa00
1214256654
13a0429a5
1465d8372
1543ac474
hex2e25920

48388384 has 36 divisors (see below), whose sum is σ = 104720742. Its totient is φ = 21992960.

The previous prime is 48388367. The next prime is 48388391.

48388384 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 40704400 + 7683984 = 6380^2 + 2772^2 .

It is a super-2 number, since 2×483883842 = 4682871412262912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2377 + ... + 10120.

Almost surely, 248388384 is an apocalyptic number.

48388384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48388384 is an abundant number, since it is smaller than the sum of its proper divisors (56332358).

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

48388384 is a wasteful number, since it uses less digits than its factorization.

48388384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12510 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 48388384 is about 6956.1759609717. The cubic root of 48388384 is about 364.4016819194.

The spelling of 48388384 in words is "forty-eight million, three hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 12497 24994 49988 99976 137467 199952 274934 399904 549868 1099736 1512137 2199472 3024274 4398944 6048548 12097096 24194192 48388384