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258634693 = 61732412
BaseRepresentation
bin11110110101001…
…11001111000101
3200000200000002201
433122213033011
51012202302233
641355234501
76260234002
oct1732471705
9600600081
10258634693
11122aa1089
1272748a31
13417769a5
14264c68a9
1517a8c77d
hexf6a73c5

258634693 has 12 divisors (see below), whose sum is σ = 267585924. Its totient is φ = 249868800.

The previous prime is 258634687. The next prime is 258634709. The reversal of 258634693 is 396436852.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3969 + 258630724 = 63^2 + 16082^2 .

It is a de Polignac number, because none of the positive numbers 2k-258634693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258634633) 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 11 ways as a sum of consecutive naturals, for example, 1073053 + ... + 1073293.

It is an arithmetic number, because the mean of its divisors is an integer number (22298827).

Almost surely, 2258634693 is an apocalyptic number.

It is an amenable number.

258634693 is a deficient number, since it is larger than the sum of its proper divisors (8951231).

258634693 is an frugal number, since it uses more digits than its factorization.

258634693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 375 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The square root of 258634693 is about 16082.1233983576. The cubic root of 258634693 is about 637.1312791787.

The spelling of 258634693 in words is "two hundred fifty-eight million, six hundred thirty-four thousand, six hundred ninety-three".

Divisors: 1 61 73 241 4453 14701 17593 58081 1073173 3542941 4239913 258634693