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258540216 = 233112175237
BaseRepresentation
bin11110110100100…
…00001010111000
3200000111012111120
433122100022320
51012141241331
641353225240
76256361364
oct1732201270
9600435446
10258540216
11122a37100
1272702220
134174299c
14264a02a4
1517a6e796
hexf6902b8

258540216 has 96 divisors (see below), whose sum is σ = 752386320. Its totient is φ = 73722880.

The previous prime is 258540187. The next prime is 258540223. The reversal of 258540216 is 612045852.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46750 + ... + 51986.

Almost surely, 2258540216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258540216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376193160).

258540216 is an abundant number, since it is smaller than the sum of its proper divisors (493846104).

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

258540216 is a wasteful number, since it uses less digits than its factorization.

258540216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 258540216 is about 16079.1858002823. The cubic root of 258540216 is about 637.0536902286.

The spelling of 258540216 in words is "two hundred fifty-eight million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 5237 6171 8228 10474 12342 15711 16456 20948 24684 31422 41896 49368 57607 62844 89029 115214 125688 172821 178058 230428 267087 345642 356116 460856 534174 633677 691284 712232 979319 1068348 1267354 1382568 1901031 1958638 2136696 2534708 2937957 3802062 3917276 5069416 5875914 7604124 7834552 10772509 11751828 15208248 21545018 23503656 32317527 43090036 64635054 86180072 129270108 258540216