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4253568 = 273111953
BaseRepresentation
bin10000001110011110000000
322000002210120
4100032132000
52042103233
6231100240
751104034
oct20163600
98002716
104253568
112445850
121511680
13b5c107
147ca1c4
155904b3
hex40e780

4253568 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 1198080.

The previous prime is 4253567. The next prime is 4253573. The reversal of 4253568 is 8653524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (28800) is a multiple of the sum of its prime factors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80230 + ... + 80282.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 24253568 is an apocalyptic number.

4253568 is a gapful number since it is divisible by the number (48) 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 4253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

4253568 is an abundant number, since it is smaller than the sum of its proper divisors (8965632).

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

4253568 is a wasteful number, since it uses less digits than its factorization.

4253568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

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

The square root of 4253568 is about 2062.4179983699. The cubic root of 4253568 is about 162.0259065412.

It can be divided in two parts, 425 and 3568, that added together give a palindrome (3993).

The spelling of 4253568 in words is "four million, two hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 53 57 64 66 76 88 96 106 114 128 132 152 159 176 192 209 212 228 264 304 318 352 384 418 424 456 528 583 608 627 636 704 836 848 912 1007 1056 1166 1216 1254 1272 1408 1672 1696 1749 1824 2014 2112 2332 2432 2508 2544 3021 3344 3392 3498 3648 4028 4224 4664 5016 5088 6042 6688 6784 6996 7296 8056 9328 10032 10176 11077 12084 13376 13992 16112 18656 20064 20352 22154 24168 26752 27984 32224 33231 37312 40128 44308 48336 55968 64448 66462 74624 80256 88616 96672 111936 128896 132924 177232 193344 223872 265848 354464 386688 531696 708928 1063392 1417856 2126784 4253568