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612044244 = 22327101139173
BaseRepresentation
bin100100011110110…
…000110111010100
31120122200001212100
4210132300313110
52223140403434
6140422122100
721111201360
oct4436606724
91518601770
10612044244
11294534999
12150b80330
1399a54a76
145b4002a0
1538aeb699
hex247b0dd4

612044244 has 144 divisors (see below), whose sum is σ = 1808876160. Its totient is φ = 170899200.

The previous prime is 612044243. The next prime is 612044249. The reversal of 612044244 is 442440216.

It is a happy number.

612044244 is a `hidden beast` number, since 612 + 0 + 4 + 4 + 2 + 44 = 666.

612044244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6120442442 = 749196313227063072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612044243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3537742 + ... + 3537914.

It is an arithmetic number, because the mean of its divisors is an integer number (12561640).

Almost surely, 2612044244 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 612044244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904438080).

612044244 is an abundant number, since it is smaller than the sum of its proper divisors (1196831916).

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

612044244 is a wasteful number, since it uses less digits than its factorization.

612044244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 612044244 is about 24739.5279663942. The cubic root of 612044244 is about 849.0389340650.

The spelling of 612044244 in words is "six hundred twelve million, forty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 139 173 202 252 278 303 346 404 417 519 556 606 692 707 834 909 973 1038 1211 1212 1251 1414 1557 1668 1818 1946 2076 2121 2422 2502 2828 2919 3114 3633 3636 3892 4242 4844 5004 5838 6228 6363 7266 8484 8757 10899 11676 12726 14039 14532 17473 17514 21798 24047 25452 28078 34946 35028 42117 43596 48094 52419 56156 69892 72141 84234 96188 98273 104838 122311 126351 144282 157257 168329 168468 196546 209676 216423 244622 252702 288564 294819 314514 336658 366933 393092 432846 489244 504987 505404 589638 629028 673316 733866 865692 884457 1009974 1100799 1179276 1467732 1514961 1768914 2019948 2201598 2428747 3029922 3537828 4403196 4857494 6059844 7286241 9714988 14572482 17001229 21858723 29144964 34002458 43717446 51003687 68004916 87434892 102007374 153011061 204014748 306022122 612044244