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4257144 = 233319709
BaseRepresentation
bin10000001111010101111000
322000021201000
4100033111320
52042212034
6231125000
751120333
oct20172570
98007630
104257144
112448501
121513760
13b60928
147cb61a
15591599
hex40f578

4257144 has 32 divisors (see below), whose sum is σ = 11826000. Its totient is φ = 1418976.

The previous prime is 4257133. The next prime is 4257161. The reversal of 4257144 is 4417524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9639 + ... + 10070.

Almost surely, 24257144 is an apocalyptic number.

It is an amenable number.

4257144 is an abundant number, since it is smaller than the sum of its proper divisors (7568856).

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

4257144 is a wasteful number, since it uses less digits than its factorization.

4257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19724 (or 19714 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 4257144 is about 2063.2847597944. The cubic root of 4257144 is about 162.0712992051.

Adding to 4257144 its product of digits (4480), we get a palindrome (4261624).

It can be divided in two parts, 425 and 7144, that added together give a square (7569 = 872).

The spelling of 4257144 in words is "four million, two hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 19709 39418 59127 78836 118254 157672 177381 236508 354762 473016 532143 709524 1064286 1419048 2128572 4257144