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252208 = 24111433
BaseRepresentation
bin111101100100110000
3110210222001
4331210300
531032313
65223344
72100205
oct754460
9423861
10252208
11162540
12101b54
138aa48
1467cac
154eadd
hex3d930

252208 has 20 divisors (see below), whose sum is σ = 533448. Its totient is φ = 114560.

The previous prime is 252193. The next prime is 252209. The reversal of 252208 is 802252.

252208 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2522084 (a number of 23 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541 + ... + 892.

2252208 is an apocalyptic number.

It is an amenable number.

252208 is an abundant number, since it is smaller than the sum of its proper divisors (281240).

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

252208 is a wasteful number, since it uses less digits than its factorization.

252208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 252208 is about 502.2031461471. The cubic root of 252208 is about 63.1809695413.

The spelling of 252208 in words is "two hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 1433 2866 5732 11464 15763 22928 31526 63052 126104 252208