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258092406 = 23411132857
BaseRepresentation
bin11110110001000…
…10110101110110
3122222122110020000
433120202311312
51012032424111
641335452130
76252514665
oct1730426566
9588573200
10258092406
11122760710
1272527046
1341616c00
14263c4ddc
15179d1c56
hexf622d76

258092406 has 120 divisors (see below), whose sum is σ = 683952984. Its totient is φ = 72109440.

The previous prime is 258092381. The next prime is 258092411. The reversal of 258092406 is 604290852.

It is a happy number.

It is a super-2 number, since 2×2580924062 = 133223380069737672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 300730 + ... + 301586.

Almost surely, 2258092406 is an apocalyptic number.

258092406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 258092406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341976492).

258092406 is an abundant number, since it is smaller than the sum of its proper divisors (425860578).

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

258092406 is a wasteful number, since it uses less digits than its factorization.

258092406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 258092406 is about 16065.2546198310. The cubic root of 258092406 is about 636.6856702690.

The spelling of 258092406 in words is "two hundred fifty-eight million, ninety-two thousand, four hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 169 198 234 286 297 338 351 429 507 594 702 857 858 891 1014 1053 1287 1521 1714 1782 1859 2106 2571 2574 3042 3718 3861 4563 5142 5577 7713 7722 9126 9427 11141 11154 11583 13689 15426 16731 18854 22282 23139 23166 27378 28281 33423 33462 46278 50193 56562 66846 69417 84843 100269 100386 122551 138834 144833 150579 169686 200538 245102 254529 289666 300807 301158 367653 434499 509058 601614 735306 763587 868998 902421 1102959 1303497 1527174 1593163 1804842 2205918 2606994 3186326 3308877 3910491 4779489 6617754 7820982 9558978 9926631 11731473 14338467 19853262 23462946 28676934 43015401 86030802 129046203 258092406