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2052905088 = 273132111949
BaseRepresentation
bin111101001011100…
…1101100010000000
312022001220101100210
41322113031202000
513201020430323
6535412514120
7101605256013
oct17227154200
95261811323
102052905088
119638a1a83
1249361b940
1326940bb50
1415690b37a
15c0363293
hex7a5cd880

2052905088 has 128 divisors (see below), whose sum is σ = 5903352000. Its totient is φ = 628346880.

The previous prime is 2052905083. The next prime is 2052905117. The reversal of 2052905088 is 8805092502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2052905083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052338 + ... + 1054286.

Almost surely, 22052905088 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 2052905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951676000).

2052905088 is an abundant number, since it is smaller than the sum of its proper divisors (3850446912).

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

2052905088 is a wasteful number, since it uses less digits than its factorization.

2052905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 2052905088 is about 45308.9956631131. The cubic root of 2052905088 is about 1270.9338798364.

The spelling of 2052905088 in words is "two billion, fifty-two million, nine hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 211 312 384 416 422 624 633 832 844 1248 1266 1664 1688 1949 2496 2532 2743 3376 3898 4992 5064 5486 5847 6752 7796 8229 10128 10972 11694 13504 15592 16458 20256 21944 23388 25337 27008 31184 32916 40512 43888 46776 50674 62368 65832 76011 81024 87776 93552 101348 124736 131664 152022 175552 187104 202696 249472 263328 304044 351104 374208 405392 411239 526656 608088 748416 810784 822478 1053312 1216176 1233717 1621568 1644956 2432352 2467434 3243136 3289912 4864704 4934868 5346107 6579824 9729408 9869736 10692214 13159648 16038321 19739472 21384428 26319296 32076642 39478944 42768856 52638592 64153284 78957888 85537712 128306568 157915776 171075424 256613136 342150848 513226272 684301696 1026452544 2052905088