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4253856 = 25373607
BaseRepresentation
bin10000001110100010100000
322000010012020
4100032202200
52042110411
6231101440
751104625
oct20164240
98003166
104253856
112445a92
121511880
13b5c299
147ca34c
15590606
hex40e8a0

4253856 has 48 divisors (see below), whose sum is σ = 11337984. Its totient is φ = 1396224.

The previous prime is 4253849. The next prime is 4253863. The reversal of 4253856 is 6583524.

It is an interprime number because it is at equal distance from previous prime (4253849) and next prime (4253863).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 6705 + ... + 7311.

It is an arithmetic number, because the mean of its divisors is an integer number (236208).

Almost surely, 24253856 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 4253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668992).

4253856 is an abundant number, since it is smaller than the sum of its proper divisors (7084128).

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

4253856 is a wasteful number, since it uses less digits than its factorization.

4253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 4253856 is about 2062.4878181458. The cubic root of 4253856 is about 162.0295632680.

The spelling of 4253856 in words is "four million, two hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 607 876 1168 1214 1752 1821 2336 2428 3504 3642 4856 7008 7284 9712 14568 19424 29136 44311 58272 88622 132933 177244 265866 354488 531732 708976 1063464 1417952 2126928 4253856