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3849248 = 251319487
BaseRepresentation
bin1110101011110000100000
321020120011202
432223300200
51441133443
6214300332
744501204
oct16536040
97216152
103849248
112199aa7
1213576a8
13a4a080
14722b04
155107b8
hex3abc20

3849248 has 48 divisors (see below), whose sum is σ = 8608320. Its totient is φ = 1679616.

The previous prime is 3849233. The next prime is 3849269. The reversal of 3849248 is 8429483.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 7661 + ... + 8147.

It is an arithmetic number, because the mean of its divisors is an integer number (179340).

Almost surely, 23849248 is an apocalyptic number.

3849248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3849248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304160).

3849248 is an abundant number, since it is smaller than the sum of its proper divisors (4759072).

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

3849248 is a wasteful number, since it uses less digits than its factorization.

3849248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3849248 is about 1961.9500503326. The cubic root of 3849248 is about 156.7203156136.

It can be divided in two parts, 38 and 49248, that multiplied together give a square (1871424 = 13682).

The spelling of 3849248 in words is "three million, eight hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 487 494 608 974 988 1948 1976 3896 3952 6331 7792 7904 9253 12662 15584 18506 25324 37012 50648 74024 101296 120289 148048 202592 240578 296096 481156 962312 1924624 3849248