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253714041 = 327113157227
BaseRepresentation
bin11110001111101…
…01111001111001
3122200102000020100
433013311321321
51004422322131
641101550013
76200351040
oct1707657171
9580360210
10253714041
11120240129
1270b75309
1340743069
14259a5557
15174197e6
hexf1f5e79

253714041 has 48 divisors (see below), whose sum is σ = 427100544. Its totient is φ = 142152192.

The previous prime is 253714039. The next prime is 253714091. The reversal of 253714041 is 140417352.

253714041 is a `hidden beast` number, since 253 + 7 + 1 + 404 + 1 = 666.

It is not a de Polignac number, because 253714041 - 21 = 253714039 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 253713996 and 253714014.

It is not an unprimeable number, because it can be changed into a prime (253714091) 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 47 ways as a sum of consecutive naturals, for example, 1117570 + ... + 1117796.

It is an arithmetic number, because the mean of its divisors is an integer number (8897928).

Almost surely, 2253714041 is an apocalyptic number.

253714041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253714041 is a deficient number, since it is larger than the sum of its proper divisors (173386503).

253714041 is a wasteful number, since it uses less digits than its factorization.

253714041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 253714041 is about 15928.4035923253. The cubic root of 253714041 is about 633.0648017335.

The spelling of 253714041 in words is "two hundred fifty-three million, seven hundred fourteen thousand, forty-one".

Divisors: 1 3 7 9 21 63 113 157 227 339 471 681 791 1017 1099 1413 1589 2043 2373 3297 4767 7119 9891 14301 17741 25651 35639 53223 76953 106917 124187 159669 179557 230859 249473 320751 372561 538671 748419 1117683 1616013 2245257 4027207 12081621 28190449 36244863 84571347 253714041