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258343092 = 2232721371069
BaseRepresentation
bin11110110011000…
…00000010110100
3200000010012002200
433121200002310
51012113434332
641345104500
76254610600
oct1731400264
9600105080
10258343092
11122911a97
1272628130
13416a4047
142644c500
1517a3117c
hexf6600b4

258343092 has 108 divisors (see below), whose sum is σ = 765912420. Its totient is φ = 73204992.

The previous prime is 258343073. The next prime is 258343109. The reversal of 258343092 is 290343852.

It can be written as a sum of positive squares in 2 ways, for example, as 136328976 + 122014116 = 11676^2 + 11046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 241134 + ... + 242202.

Almost surely, 2258343092 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 258343092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382956210).

258343092 is an abundant number, since it is smaller than the sum of its proper divisors (507569328).

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

258343092 is a wasteful number, since it uses less digits than its factorization.

258343092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 258343092 is about 16073.0548434328. The cubic root of 258343092 is about 636.8917418570.

The spelling of 258343092 in words is "two hundred fifty-eight million, three hundred forty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 137 147 196 252 274 294 411 441 548 588 822 882 959 1069 1233 1644 1764 1918 2138 2466 2877 3207 3836 4276 4932 5754 6414 6713 7483 8631 9621 11508 12828 13426 14966 17262 19242 20139 22449 26852 29932 34524 38484 40278 44898 52381 60417 67347 80556 89796 104762 120834 134694 146453 157143 209524 241668 269388 292906 314286 439359 471429 585812 628572 878718 942858 1025171 1318077 1757436 1885716 2050342 2636154 3075513 4100684 5272308 6151026 7176197 9226539 12302052 14352394 18453078 21528591 28704788 36906156 43057182 64585773 86114364 129171546 258343092