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253050831 = 33111750119
BaseRepresentation
bin11110001010100…
…11111111001111
3122122011022111000
433011103333033
51004240111311
641035431343
76161616345
oct1705237717
9578138430
10253050831
1111a927920
12708b5553
1340570227
1425871995
1517338056
hexf153fcf

253050831 has 32 divisors (see below), whose sum is σ = 433036800. Its totient is φ = 144339840.

The previous prime is 253050821. The next prime is 253050841. The reversal of 253050831 is 138050352.

253050831 is a `hidden beast` number, since 2 + 530 + 50 + 83 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (253050821) and next prime (253050841).

It is not a de Polignac number, because 253050831 - 27 = 253050703 is a prime.

It is a super-2 number, since 2×2530508312 = 128069446139581122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 253050795 and 253050804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253050821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20011 + ... + 30108.

It is an arithmetic number, because the mean of its divisors is an integer number (13532400).

Almost surely, 2253050831 is an apocalyptic number.

253050831 is a deficient number, since it is larger than the sum of its proper divisors (179985969).

253050831 is a wasteful number, since it uses less digits than its factorization.

253050831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50156 (or 50150 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 253050831 is about 15907.5714991321. The cubic root of 253050831 is about 632.5127086866.

It can be divided in two parts, 2530 and 50831, that added together give a square (53361 = 2312).

The spelling of 253050831 in words is "two hundred fifty-three million, fifty thousand, eight hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 50119 150357 451071 551309 852023 1353213 1653927 2556069 4961781 7668207 9372253 14885343 23004621 28116759 84350277 253050831