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3845448 = 233319937
BaseRepresentation
bin1110101010110101001000
321020100222000
432222311020
51441023243
6214231000
744454135
oct16526510
97210860
103845448
112197162
121355460
13a48419
1472158c
1550e5d3
hex3aad48

3845448 has 64 divisors (see below), whose sum is σ = 11256000. Its totient is φ = 1213056.

The previous prime is 3845441. The next prime is 3845449. The reversal of 3845448 is 8445483.

3845448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3845441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3636 + ... + 4572.

It is an arithmetic number, because the mean of its divisors is an integer number (175875).

Almost surely, 23845448 is an apocalyptic number.

3845448 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 3845448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628000).

3845448 is an abundant number, since it is smaller than the sum of its proper divisors (7410552).

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

3845448 is a wasteful number, since it uses less digits than its factorization.

3845448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 3845448 is about 1960.9813869591. The cubic root of 3845448 is about 156.6687268981.

It can be divided in two parts, 384 and 5448, that added together give a cube (5832 = 183).

The spelling of 3845448 in words is "three million, eight hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 937 1026 1368 1874 2052 2811 3748 4104 5622 7496 8433 11244 16866 17803 22488 25299 33732 35606 50598 53409 67464 71212 101196 106818 142424 160227 202392 213636 320454 427272 480681 640908 961362 1281816 1922724 3845448