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4249152 = 26332459
BaseRepresentation
bin10000001101011001000000
321222212202000
4100031121000
52041433102
6231024000
751055125
oct20153100
97885660
104249152
1124424a6
12150b000
13b5a0bb
147c874c
1558e01c
hex40d640

4249152 has 56 divisors (see below), whose sum is σ = 12496800. Its totient is φ = 1415808.

The previous prime is 4249151. The next prime is 4249159. The reversal of 4249152 is 2519424.

4249152 is digitally balanced in base 5, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (4249151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499 + ... + 2957.

Almost surely, 24249152 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 4249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248400).

4249152 is an abundant number, since it is smaller than the sum of its proper divisors (8247648).

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

4249152 is a wasteful number, since it uses less digits than its factorization.

4249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2464 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4249152 is about 2061.3471323385. The cubic root of 4249152 is about 161.9698160500.

It can be divided in two parts, 42 and 49152, that added together give a palindrome (49194).

The spelling of 4249152 in words is "four million, two hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2459 4918 7377 9836 14754 19672 22131 29508 39344 44262 59016 66393 78688 88524 118032 132786 157376 177048 236064 265572 354096 472128 531144 708192 1062288 1416384 2124576 4249152