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4144812 = 223731953
BaseRepresentation
bin1111110011111010101100
321210120121120
433303322230
52030113222
6224500540
750142000
oct17637254
97716546
104144812
112381071
12147a750
13b21769
1479c700
1556d15c
hex3f3eac

4144812 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1100736.

The previous prime is 4144801. The next prime is 4144817. The reversal of 4144812 is 2184414.

It is not an unprimeable number, because it can be changed into a prime (4144817) 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, 78178 + ... + 78230.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 24144812 is an apocalyptic number.

4144812 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 4144812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4144812 is an abundant number, since it is smaller than the sum of its proper divisors (7951188).

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

4144812 is a wasteful number, since it uses less digits than its factorization.

4144812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4144812 is about 2035.8811360195. The cubic root of 4144812 is about 160.6330647941.

The spelling of 4144812 in words is "four million, one hundred forty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 53 57 76 84 98 106 114 133 147 159 196 212 228 266 294 318 343 371 399 532 588 636 686 742 798 931 1007 1029 1113 1372 1484 1596 1862 2014 2058 2226 2597 2793 3021 3724 4028 4116 4452 5194 5586 6042 6517 7049 7791 10388 11172 12084 13034 14098 15582 18179 19551 21147 26068 28196 31164 36358 39102 42294 49343 54537 72716 78204 84588 98686 109074 148029 197372 218148 296058 345401 592116 690802 1036203 1381604 2072406 4144812