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258417057 = 32943671031
BaseRepresentation
bin11110110011100…
…10000110100001
3200000020221120010
433121302012201
51012123321212
641350435133
76255336333
oct1731620641
9600227503
10258417057
11122962618
1272662aa9
13416cb902
142646b453
1517a4803c
hexf6721a1

258417057 has 32 divisors (see below), whose sum is σ = 370529280. Its totient is φ = 159888960.

The previous prime is 258417041. The next prime is 258417113. The reversal of 258417057 is 750714852.

258417057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258417057 - 24 = 258417041 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (258417037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250132 + ... + 251162.

It is an arithmetic number, because the mean of its divisors is an integer number (11579040).

Almost surely, 2258417057 is an apocalyptic number.

It is an amenable number.

258417057 is a deficient number, since it is larger than the sum of its proper divisors (112112223).

258417057 is a wasteful number, since it uses less digits than its factorization.

258417057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 258417057 is about 16075.3555792710. The cubic root of 258417057 is about 636.9525178872.

The spelling of 258417057 in words is "two hundred fifty-eight million, four hundred seventeen thousand, fifty-seven".

Divisors: 1 3 29 43 67 87 129 201 1031 1247 1943 2881 3093 3741 5829 8643 29899 44333 69077 83549 89697 132999 207231 250647 1285657 2003233 2970311 3856971 6009699 8910933 86139019 258417057