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1050444252 = 223211131071907
BaseRepresentation
bin111110100111001…
…000000111011100
32201012121002121200
4332213020013130
54122403204002
6252122355500
735013425454
oct7647100734
92635532550
101050444252
11499a48350
1225395bb90
1313981c860
149d71cd64
1562347b1c
hex3e9c81dc

1050444252 has 144 divisors (see below), whose sum is σ = 3150306432. Its totient is φ = 290931840.

The previous prime is 1050444233. The next prime is 1050444253. The reversal of 1050444252 is 2524440501.

It is a super-2 number, since 2×10504442522 = 2206866253119679008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050444253) 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, 549883 + ... + 551789.

It is an arithmetic number, because the mean of its divisors is an integer number (21877128).

Almost surely, 21050444252 is an apocalyptic number.

1050444252 is a gapful number since it is divisible by the number (12) 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 1050444252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575153216).

1050444252 is an abundant number, since it is smaller than the sum of its proper divisors (2099862180).

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

1050444252 is a wasteful number, since it uses less digits than its factorization.

1050444252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1050444252 is about 32410.5577242972. The cubic root of 1050444252 is about 1016.5396814015.

Adding to 1050444252 its reverse (2524440501), we get a palindrome (3574884753).

It can be divided in two parts, 10504 and 44252, that added together give a square (54756 = 2342).

The spelling of 1050444252 in words is "one billion, fifty million, four hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 107 117 132 143 156 198 214 234 286 321 396 428 429 468 572 642 858 963 1177 1284 1287 1391 1716 1907 1926 2354 2574 2782 3531 3814 3852 4173 4708 5148 5564 5721 7062 7628 8346 10593 11442 12519 14124 15301 16692 17163 20977 21186 22884 24791 25038 30602 34326 41954 42372 45903 49582 50076 61204 62931 68652 74373 83908 91806 99164 125862 137709 148746 183612 188793 204049 223119 251724 272701 275418 297492 377586 408098 446238 545402 550836 612147 755172 816196 818103 892476 1090804 1224294 1636206 1836441 2244539 2448588 2454309 2652637 3272412 3672882 4489078 4908618 5305274 6733617 7345764 7957911 8978156 9817236 10610548 13467234 15915822 20200851 23873733 26934468 29179007 31831644 40401702 47747466 58358014 80803404 87537021 95494932 116716028 175074042 262611063 350148084 525222126 1050444252