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253967063 = 71712011777
BaseRepresentation
bin11110010001100…
…11101011010111
3122200212212022112
433020303223113
51010003421223
641111221235
76202453520
oct1710635327
9580785275
10253967063
111203a3239
127107781b
134080128c
1425a2d847
1517469778
hexf233ad7

253967063 has 16 divisors (see below), whose sum is σ = 307750464. Its totient is φ = 204595200.

The previous prime is 253967047. The next prime is 253967069. The reversal of 253967063 is 360769352.

It is a cyclic number.

It is not a de Polignac number, because 253967063 - 24 = 253967047 is a prime.

It is a super-4 number, since 4×2539670634 (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 253967063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253967069) 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, 142031 + ... + 143807.

It is an arithmetic number, because the mean of its divisors is an integer number (19234404).

Almost surely, 2253967063 is an apocalyptic number.

253967063 is a deficient number, since it is larger than the sum of its proper divisors (53783401).

253967063 is a wasteful number, since it uses less digits than its factorization.

253967063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002.

The product of its (nonzero) digits is 204120, while the sum is 41.

The square root of 253967063 is about 15936.3440914157. The cubic root of 253967063 is about 633.2751778241.

The spelling of 253967063 in words is "two hundred fifty-three million, nine hundred sixty-seven thousand, sixty-three".

Divisors: 1 7 17 119 1201 1777 8407 12439 20417 30209 142919 211463 2134177 14939239 36281009 253967063