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3838848 = 27313769
BaseRepresentation
bin1110101001001110000000
321020000220120
432221032000
51440320343
6214140240
744425656
oct16511600
97200816
103838848
112192202
121351680
13a45410
1471cdd6
1550c683
hex3a9380

3838848 has 64 divisors (see below), whose sum is σ = 10995600. Its totient is φ = 1179648.

The previous prime is 3838841. The next prime is 3838853. The reversal of 3838848 is 8488383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4608 + ... + 5376.

Almost surely, 23838848 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 3838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497800).

3838848 is an abundant number, since it is smaller than the sum of its proper divisors (7156752).

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

3838848 is a wasteful number, since it uses less digits than its factorization.

3838848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 3838848 is about 1959.2978334087. The cubic root of 3838848 is about 156.5790446100.

The spelling of 3838848 in words is "three million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 769 832 1248 1538 1664 2307 2496 3076 4614 4992 6152 9228 9997 12304 18456 19994 24608 29991 36912 39988 49216 59982 73824 79976 98432 119964 147648 159952 239928 295296 319904 479856 639808 959712 1279616 1919424 3838848