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52983288 = 23331747307
BaseRepresentation
bin1100101000011…
…1010111111000
310200200211102000
43022013113320
5102030431123
65131341000
71212231141
oct312072770
9120624360
1052983288
11279a9146
12158b1760
13ac91277
147072ac8
1549b8b43
hex32875f8

52983288 has 128 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 16215552.

The previous prime is 52983269. The next prime is 52983289. The reversal of 52983288 is 88238925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52983289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172431 + ... + 172737.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 252983288 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 52983288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

52983288 is an abundant number, since it is smaller than the sum of its proper divisors (106683912).

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

52983288 is a wasteful number, since it uses less digits than its factorization.

52983288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 52983288 is about 7278.9620139138. The cubic root of 52983288 is about 375.5890901097.

The spelling of 52983288 in words is "fifty-two million, nine hundred eighty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 94 102 108 136 141 153 188 204 216 282 306 307 376 408 423 459 564 612 614 799 846 918 921 1128 1224 1228 1269 1598 1692 1836 1842 2397 2456 2538 2763 3196 3384 3672 3684 4794 5076 5219 5526 6392 7191 7368 8289 9588 10152 10438 11052 14382 14429 15657 16578 19176 20876 21573 22104 28764 28858 31314 33156 41752 43146 43287 46971 57528 57716 62628 66312 86292 86574 93942 115432 125256 129861 140913 172584 173148 187884 245293 259722 281826 346296 375768 389583 490586 519444 563652 735879 779166 981172 1038888 1127304 1471758 1558332 1962344 2207637 2943516 3116664 4415274 5887032 6622911 8830548 13245822 17661096 26491644 52983288