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252255400 = 23521966383
BaseRepresentation
bin11110000100100…
…01110010101000
3122120122220100121
433002101302220
51004034133100
641010413024
76152064325
oct1702216250
9576586317
10252255400
1111a434241
1270591174
1340352167
1425705b4c
151722c51a
hexf091ca8

252255400 has 48 divisors (see below), whose sum is σ = 617371200. Its totient is φ = 95590080.

The previous prime is 252255397. The next prime is 252255527. The reversal of 252255400 is 4552252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29392 + ... + 36991.

It is an arithmetic number, because the mean of its divisors is an integer number (12861900).

Almost surely, 2252255400 is an apocalyptic number.

252255400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252255400 is an abundant number, since it is smaller than the sum of its proper divisors (365115800).

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

252255400 is a wasteful number, since it uses less digits than its factorization.

252255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66418 (or 66409 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 252255400 is about 15882.5501730673. The cubic root of 252255400 is about 631.8492737286.

It can be divided in two parts, 25225 and 5400, that added together give a square (30625 = 1752).

The spelling of 252255400 in words is "two hundred fifty-two million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 66383 132766 265532 331915 531064 663830 1261277 1327660 1659575 2522554 2655320 3319150 5045108 6306385 6638300 10090216 12612770 13276600 25225540 31531925 50451080 63063850 126127700 252255400