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75112257 = 31137227271
BaseRepresentation
bin1000111101000…
…01111101000001
312020100002122110
410132201331001
5123212043012
611241525533
71601305113
oct436417501
9166302573
1075112257
1139442a50
12211a38a9
131273b72c
149d933b3
1568da73c
hex47a1f41

75112257 has 32 divisors (see below), whose sum is σ = 113117184. Its totient is φ = 43934400.

The previous prime is 75112253. The next prime is 75112267. The reversal of 75112257 is 75221157.

It is not a de Polignac number, because 75112257 - 22 = 75112253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75112253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277032 + ... + 277302.

It is an arithmetic number, because the mean of its divisors is an integer number (3534912).

Almost surely, 275112257 is an apocalyptic number.

It is an amenable number.

75112257 is a deficient number, since it is larger than the sum of its proper divisors (38004927).

75112257 is a wasteful number, since it uses less digits than its factorization.

75112257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549.

The product of its digits is 4900, while the sum is 30.

The square root of 75112257 is about 8666.7327753889. The cubic root of 75112257 is about 421.9266304766.

Subtracting 75112257 from its reverse (75221157), we obtain a square (108900 = 3302).

The spelling of 75112257 in words is "seventy-five million, one hundred twelve thousand, two hundred fifty-seven".

Divisors: 1 3 11 33 37 111 227 271 407 681 813 1221 2497 2981 7491 8399 8943 10027 25197 30081 61517 92389 110297 184551 277167 330891 676687 2030061 2276129 6828387 25037419 75112257