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253364112 = 2434195497
BaseRepresentation
bin11110001101000…
…00011110010000
3122122202020020000
433012200132100
51004330122422
641050250000
76164362611
oct1706403620
9578666200
10253364112
11120021231
1270a26900
134064c9c1
1425913c08
151739acac
hexf1a0790

253364112 has 50 divisors (see below), whose sum is σ = 733312998. Its totient is φ = 84454272.

The previous prime is 253364099. The next prime is 253364117. The reversal of 253364112 is 211463352.

253364112 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 641 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 81649296 = 13104^2 + 9036^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253364117) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 96453 + ... + 99044.

Almost surely, 2253364112 is an apocalyptic number.

It is an amenable number.

253364112 is an abundant number, since it is smaller than the sum of its proper divisors (479948886).

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

253364112 is a wasteful number, since it uses less digits than its factorization.

253364112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195517 (or 195502 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 253364112 is about 15917.4153680803. The cubic root of 253364112 is about 632.7736213481.

The spelling of 253364112 in words is "two hundred fifty-three million, three hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 195497 390994 586491 781988 1172982 1563976 1759473 2345964 3127952 3518946 4691928 5278419 7037892 9383856 10556838 14075784 15835257 21113676 28151568 31670514 42227352 63341028 84454704 126682056 253364112