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253668252 = 22383257991
BaseRepresentation
bin11110001111010…
…10101110011100
3122200022200102110
433013222232130
51004414341002
641100554020
76200100405
oct1707525634
9580280373
10253668252
11120209792
1270b52910
1340728276
14259929ac
151740ae6c
hexf1eab9c

253668252 has 48 divisors (see below), whose sum is σ = 601961472. Its totient is φ = 83128320.

The previous prime is 253668251. The next prime is 253668281. The reversal of 253668252 is 252866352.

It is a self number, because there is not a number n which added to its sum of digits gives 253668252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253668251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255477 + ... + 256467.

It is an arithmetic number, because the mean of its divisors is an integer number (12540864).

Almost surely, 2253668252 is an apocalyptic number.

It is an amenable number.

253668252 is an abundant number, since it is smaller than the sum of its proper divisors (348293220).

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

253668252 is a wasteful number, since it uses less digits than its factorization.

253668252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1336 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 253668252 is about 15926.9661894537. The cubic root of 253668252 is about 633.0267153533.

The spelling of 253668252 in words is "two hundred fifty-three million, six hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 83 166 249 257 332 498 514 771 991 996 1028 1542 1982 2973 3084 3964 5946 11892 21331 42662 63993 82253 85324 127986 164506 246759 254687 255972 329012 493518 509374 764061 987036 1018748 1528122 3056244 21139021 42278042 63417063 84556084 126834126 253668252