Search a number
-
+
258973031 = 2383293463
BaseRepresentation
bin11110110111110…
…01110101100111
3200001022012012202
433123321311213
51012244114111
641410405115
76263143262
oct1733716547
9601265182
10258973031
111232022a9
127289079b
13418649a5
1426573cd9
1517b07b3b
hexf6f9d67

258973031 has 16 divisors (see below), whose sum is σ = 275014656. Its totient is φ = 243366816.

The previous prime is 258973009. The next prime is 258973037. The reversal of 258973031 is 130379852.

It is a cyclic number.

It is not a de Polignac number, because 258973031 - 214 = 258956647 is a prime.

It is a super-2 number, since 2×2589730312 = 134134061570653922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258973037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559106 + ... + 559568.

It is an arithmetic number, because the mean of its divisors is an integer number (17188416).

Almost surely, 2258973031 is an apocalyptic number.

258973031 is a deficient number, since it is larger than the sum of its proper divisors (16041625).

258973031 is a wasteful number, since it uses less digits than its factorization.

258973031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 258973031 is about 16092.6390315573. The cubic root of 258973031 is about 637.4089833408.

The spelling of 258973031 in words is "two hundred fifty-eight million, nine hundred seventy-three thousand, thirty-one".

Divisors: 1 23 83 293 463 1909 6739 10649 24319 38429 135659 559337 883867 3120157 11259697 258973031