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258143496 = 233135367233
BaseRepresentation
bin11110110001011…
…11010100001000
3122222202001022020
433120233110020
51012041042441
641340524440
76253116642
oct1730572410
9588661266
10258143496
11122796036
1272550720
1341634240
14263d9892
15179e1e66
hexf62f508

258143496 has 128 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 76437504.

The previous prime is 258143477. The next prime is 258143527. The reversal of 258143496 is 694341852.

258143496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107796 + ... + 1108028.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2258143496 is an apocalyptic number.

258143496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258143496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

258143496 is an abundant number, since it is smaller than the sum of its proper divisors (463624824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258143496 is a wasteful number, since it uses less digits than its factorization.

258143496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 258143496 is about 16066.8446186549. The cubic root of 258143496 is about 636.7276786402.

The spelling of 258143496 in words is "two hundred fifty-eight million, one hundred forty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 67 78 104 106 134 156 159 201 212 233 268 312 318 402 424 466 536 636 689 699 804 871 932 1272 1378 1398 1608 1742 1864 2067 2613 2756 2796 3029 3484 3551 4134 5226 5512 5592 6058 6968 7102 8268 9087 10452 10653 12116 12349 14204 15611 16536 18174 20904 21306 24232 24698 28408 31222 36348 37047 42612 46163 46833 49396 62444 72696 74094 85224 92326 93666 98792 124888 138489 148188 160537 184652 187332 202943 276978 296376 321074 369304 374664 405886 481611 553956 608829 642148 811772 827383 963222 1107912 1217658 1284296 1623544 1654766 1926444 2435316 2482149 3309532 3852888 4870632 4964298 6619064 9928596 10755979 19857192 21511958 32267937 43023916 64535874 86047832 129071748 258143496