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4254012 = 2233717331
BaseRepresentation
bin10000001110100100111100
322000010102000
4100032210330
52042112022
6231102300
751105240
oct20164474
98003360
104254012
112446114
121511990
13b5c389
147ca420
155906ac
hex40e93c

4254012 has 96 divisors (see below), whose sum is σ = 13386240. Its totient is φ = 1140480.

The previous prime is 4254007. The next prime is 4254013. The reversal of 4254012 is 2104524.

It is a super-2 number, since 2×42540122 = 36193236192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12687 + ... + 13017.

It is an arithmetic number, because the mean of its divisors is an integer number (139440).

Almost surely, 24254012 is an apocalyptic number.

4254012 is a gapful number since it is divisible by the number (42) 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 4254012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693120).

4254012 is an abundant number, since it is smaller than the sum of its proper divisors (9132228).

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

4254012 is a wasteful number, since it uses less digits than its factorization.

4254012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4254012 is about 2062.5256362043. The cubic root of 4254012 is about 162.0315439261.

Adding to 4254012 its reverse (2104524), we get a palindrome (6358536).

It can be divided in two parts, 4 and 254012, that added together give a square (254016 = 5042).

The spelling of 4254012 in words is "four million, two hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 331 357 378 459 476 612 662 714 756 918 993 1071 1324 1428 1836 1986 2142 2317 2979 3213 3972 4284 4634 5627 5958 6426 6951 8937 9268 11254 11916 12852 13902 16881 17874 20853 22508 27804 33762 35748 39389 41706 50643 62559 67524 78778 83412 101286 118167 125118 151929 157556 202572 236334 250236 303858 354501 472668 607716 709002 1063503 1418004 2127006 4254012