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3842048 = 213767
BaseRepresentation
bin1110101010000000000000
321020012022002
432222000000
51440421143
6214203132
744441210
oct16520000
97205262
103842048
112194651
1213534a8
13a46a02
14720240
1550d5b8
hex3aa000

3842048 has 56 divisors (see below), whose sum is σ = 8912352. Its totient is φ = 1622016.

The previous prime is 3842029. The next prime is 3842077. The reversal of 3842048 is 8402483.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×38420482 = 29522665668608, which contains 22 as substring.

It is a nialpdrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 3842048.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57311 + ... + 57377.

Almost surely, 23842048 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 3842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456176).

3842048 is an abundant number, since it is smaller than the sum of its proper divisors (5070304).

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

3842048 is an frugal number, since it uses more digits than its factorization.

3842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 3842048 is about 1960.1142823825. The cubic root of 3842048 is about 156.6225397578.

It can be divided in two parts, 38420 and 48, that multiplied together give a triangular number (1844160 = T1920).

The spelling of 3842048 in words is "three million, eight hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 256 268 448 469 512 536 896 938 1024 1072 1792 1876 2048 2144 3584 3752 4096 4288 7168 7504 8192 8576 14336 15008 17152 28672 30016 34304 57344 60032 68608 120064 137216 240128 274432 480256 548864 960512 1921024 3842048