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3838048 = 25315373
BaseRepresentation
bin1110101001000001100000
321012222210221
432221001200
51440304143
6214132424
744423434
oct16510140
97188727
103838048
112191645
121351114
13a44c46
1471c9c4
1550c2ed
hex3a9060

3838048 has 48 divisors (see below), whose sum is σ = 8055936. Its totient is φ = 1797120.

The previous prime is 3838027. The next prime is 3838097. The reversal of 3838048 is 8408383.

It is a happy number.

It is a super-2 number, since 2×38380482 = 29461224900608, 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 7 ways as a sum of consecutive naturals, for example, 52540 + ... + 52612.

It is an arithmetic number, because the mean of its divisors is an integer number (167832).

Almost surely, 23838048 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 3838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027968).

3838048 is an abundant number, since it is smaller than the sum of its proper divisors (4217888).

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

3838048 is a wasteful number, since it uses less digits than its factorization.

3838048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3838048 is about 1959.0936680006. The cubic root of 3838048 is about 156.5681670465.

It can be divided in two parts, 38380 and 48, that multiplied together give a triangular number (1842240 = T1919).

The spelling of 3838048 in words is "three million, eight hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 53 62 73 106 124 146 212 248 292 424 496 584 848 992 1168 1643 1696 2263 2336 3286 3869 4526 6572 7738 9052 13144 15476 18104 26288 30952 36208 52576 61904 72416 119939 123808 239878 479756 959512 1919024 3838048