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252734013 = 3472371721
BaseRepresentation
bin11110001000001…
…10101000111101
3122121120012220000
433010012220331
51004144442023
641024544513
76156126600
oct1704065075
9577505800
10252734013
1111a730894
1270782139
134048bc6c
14257cc337
15172c4243
hexf106a3d

252734013 has 60 divisors (see below), whose sum is σ = 451312092. Its totient is φ = 140434560.

The previous prime is 252734003. The next prime is 252734059. The reversal of 252734013 is 310437252.

252734013 is a `hidden beast` number, since 252 + 7 + 3 + 401 + 3 = 666.

252734013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 208138329 + 44595684 = 14427^2 + 6678^2 .

It is a de Polignac number, because none of the positive numbers 2k-252734013 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252734003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145993 + ... + 147713.

Almost surely, 2252734013 is an apocalyptic number.

It is an amenable number.

252734013 is a deficient number, since it is larger than the sum of its proper divisors (198578079).

252734013 is a wasteful number, since it uses less digits than its factorization.

252734013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 252734013 is about 15897.6102921162. The cubic root of 252734013 is about 632.2486311778.

The spelling of 252734013 in words is "two hundred fifty-two million, seven hundred thirty-four thousand, thirteen".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 189 259 333 441 567 777 999 1323 1721 1813 2331 2997 3969 5163 5439 6993 12047 15489 16317 20979 36141 46467 48951 63677 84329 108423 139401 146853 191031 252987 325269 445739 573093 758961 975807 1337217 1719279 2276883 3120173 4011651 5157837 6830649 9360519 12034953 28081557 36104859 84244671 252734013