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20052288 = 2632311123
BaseRepresentation
bin100110001111…
…1100101000000
31101201202120100
41030133211000
520113133123
61553442400
7332304324
oct114374500
941652510
1020052288
1110356643
126870400
134201179
14293d984
151b61643
hex131f940

20052288 has 84 divisors (see below), whose sum is σ = 59383168. Its totient is φ = 6462720.

The previous prime is 20052283. The next prime is 20052289. The reversal of 20052288 is 88225002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20052281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17295 + ... + 18417.

Almost surely, 220052288 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 20052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29691584).

20052288 is an abundant number, since it is smaller than the sum of its proper divisors (39330880).

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

20052288 is a wasteful number, since it uses less digits than its factorization.

20052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20052288 is about 4477.9781151765. The cubic root of 20052288 is about 271.6781082580.

The spelling of 20052288 in words is "twenty million, fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1123 1488 1984 2232 2246 2976 3369 4464 4492 5952 6738 8928 8984 10107 13476 17856 17968 20214 26952 34813 35936 40428 53904 69626 71872 80856 104439 107808 139252 161712 208878 215616 278504 313317 323424 417756 557008 626634 646848 835512 1114016 1253268 1671024 2228032 2506536 3342048 5013072 6684096 10026144 20052288