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253408248 = 23323519559
BaseRepresentation
bin11110001101010…
…11001111111000
3122122211110202200
433012223033320
51004333030443
641051230200
76164635362
oct1706531770
9578743680
10253408248
11120051405
1270a48360
1340666b12
1425925d32
15173a8dd3
hexf1ab3f8

253408248 has 24 divisors (see below), whose sum is σ = 686314200. Its totient is φ = 84469392.

The previous prime is 253408247. The next prime is 253408261. The reversal of 253408248 is 842804352.

253408248 is a `hidden beast` number, since 2 + 5 + 3 + 408 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253408241) 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 5 ways as a sum of consecutive naturals, for example, 1759708 + ... + 1759851.

It is an arithmetic number, because the mean of its divisors is an integer number (28596425).

Almost surely, 2253408248 is an apocalyptic number.

It is an amenable number.

253408248 is an abundant number, since it is smaller than the sum of its proper divisors (432905952).

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

253408248 is a wasteful number, since it uses less digits than its factorization.

253408248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519571 (or 3519564 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 253408248 is about 15918.8017136969. The cubic root of 253408248 is about 632.8103622461.

The spelling of 253408248 in words is "two hundred fifty-three million, four hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3519559 7039118 10558677 14078236 21117354 28156472 31676031 42234708 63352062 84469416 126704124 253408248