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3849072 = 243175389
BaseRepresentation
bin1110101011101101110000
321020112221020
432223231300
51441132242
6214255440
744500533
oct16535560
97215836
103849072
112199957
121357580
13a49c76
14722a1a
155106ec
hex3abb70

3849072 has 80 divisors (see below), whose sum is σ = 10847520. Its totient is φ = 1171456.

The previous prime is 3849061. The next prime is 3849091. The reversal of 3849072 is 2709483.

It is a super-2 number, since 2×38490722 = 29630710522368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43204 + ... + 43292.

It is an arithmetic number, because the mean of its divisors is an integer number (135594).

Almost surely, 23849072 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 3849072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423760).

3849072 is an abundant number, since it is smaller than the sum of its proper divisors (6998448).

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

3849072 is a wasteful number, since it uses less digits than its factorization.

3849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3849072 is about 1961.9051964863. The cubic root of 3849072 is about 156.7179269915.

It can be divided in two parts, 3 and 849072, that multiplied together give a square (2547216 = 15962).

The spelling of 3849072 in words is "three million, eight hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 89 102 106 136 159 178 204 212 267 272 318 356 408 424 534 636 712 816 848 901 1068 1272 1424 1513 1802 2136 2544 2703 3026 3604 4272 4539 4717 5406 6052 7208 9078 9434 10812 12104 14151 14416 18156 18868 21624 24208 28302 36312 37736 43248 56604 72624 75472 80189 113208 160378 226416 240567 320756 481134 641512 962268 1283024 1924536 3849072