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53450460 = 22325759719
BaseRepresentation
bin1100101111100…
…1011011011100
310201120120020200
43023321123130
5102140403320
65145343500
71216215150
oct313713334
9121516220
1053450460
1128198138
1215a97b90
13b0c5abb
147155060
154a5c290
hex32f96dc

53450460 has 144 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 11993472.

The previous prime is 53450437. The next prime is 53450461. The reversal of 53450460 is 6405435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53450461) 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, 73981 + ... + 74699.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 253450460 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 53450460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

53450460 is an abundant number, since it is smaller than the sum of its proper divisors (135247140).

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

53450460 is a wasteful number, since it uses less digits than its factorization.

53450460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53450460 is about 7310.9821501629. The cubic root of 53450460 is about 376.6897611165.

Adding to 53450460 its reverse (6405435), we get a palindrome (59855895).

The spelling of 53450460 in words is "fifty-three million, four hundred fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 59 60 63 70 84 90 105 118 126 140 177 180 210 236 252 295 315 354 413 420 531 590 630 708 719 826 885 1062 1180 1239 1260 1438 1652 1770 2065 2124 2157 2478 2655 2876 3540 3595 3717 4130 4314 4956 5033 5310 6195 6471 7190 7434 8260 8628 10066 10620 10785 12390 12942 14380 14868 15099 18585 20132 21570 24780 25165 25884 30198 32355 37170 42421 43140 45297 50330 60396 64710 74340 75495 84842 90594 100660 127263 129420 150990 169684 181188 212105 226485 254526 296947 301980 381789 424210 452970 509052 593894 636315 763578 848420 890841 905940 1187788 1272630 1484735 1527156 1781682 1908945 2545260 2672523 2969470 3563364 3817890 4454205 5345046 5938940 7635780 8908410 10690092 13362615 17816820 26725230 53450460