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2052252444 = 22311217711171
BaseRepresentation
bin111101001010010…
…1110001100011100
312022000200020002210
41322110232030130
513200334034234
6535350520420
7101566600164
oct17224561434
95260606083
102052252444
11963496700
12493366110
13269240a78
141567bb5a4
15c0284be9
hex7a52e31c

2052252444 has 144 divisors (see below), whose sum is σ = 5656428288. Its totient is φ = 576576000.

The previous prime is 2052252437. The next prime is 2052252467. The reversal of 2052252444 is 4442522502.

2052252444 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751979 + ... + 1753149.

It is an arithmetic number, because the mean of its divisors is an integer number (39280752).

Almost surely, 22052252444 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 2052252444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828214144).

2052252444 is an abundant number, since it is smaller than the sum of its proper divisors (3604175844).

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

2052252444 is a wasteful number, since it uses less digits than its factorization.

2052252444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2052252444 is about 45301.7929446507. The cubic root of 2052252444 is about 1270.7991836781.

Adding to 2052252444 its reverse (4442522502), we get a palindrome (6494774946).

The spelling of 2052252444 in words is "two billion, fifty-two million, two hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 71 102 121 132 142 187 204 213 242 284 363 374 426 484 561 726 748 781 852 1122 1171 1207 1452 1562 2057 2244 2342 2343 2414 3124 3513 3621 4114 4684 4686 4828 6171 7026 7242 8228 8591 9372 12342 12881 13277 14052 14484 17182 19907 24684 25762 25773 26554 34364 38643 39814 39831 51524 51546 53108 59721 77286 79628 79662 83141 103092 119442 141691 146047 154572 159324 166282 218977 238884 249423 283382 292094 332564 425073 437954 438141 498846 566764 584188 656931 850146 875908 876282 914551 997692 1313862 1413397 1700292 1752564 1829102 2408747 2627724 2743653 2826794 3658204 4240191 4817494 5487306 5653588 7226241 8480382 9634988 10060061 10974612 14452482 15547367 16960764 20120122 28904964 30180183 31094734 40240244 46642101 60360366 62189468 93284202 120720732 171021037 186568404 342042074 513063111 684084148 1026126222 2052252444