Search a number
-
+
258055956 = 22342712939
BaseRepresentation
bin11110110000110…
…01111100010100
3122222120121020000
433120121330110
51012030242311
641335011300
76252303504
oct1730317424
9588517200
10258055956
11122736294
1272509b30
1341603442
14263b5a04
15179c6056
hexf619f14

258055956 has 60 divisors (see below), whose sum is σ = 677328960. Its totient is φ = 85672080.

The previous prime is 258055951. The next prime is 258055957. The reversal of 258055956 is 659550852.

258055956 is a `hidden beast` number, since 2 + 58 + 0 + 5 + 595 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258055951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86335 + ... + 89273.

It is an arithmetic number, because the mean of its divisors is an integer number (11288816).

Almost surely, 2258055956 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 258055956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338664480).

258055956 is an abundant number, since it is smaller than the sum of its proper divisors (419273004).

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

258055956 is a wasteful number, since it uses less digits than its factorization.

258055956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 258055956 is about 16064.1201439730. The cubic root of 258055956 is about 636.6556961400.

The spelling of 258055956 in words is "two hundred fifty-eight million, fifty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1626 2439 2939 3252 4878 5878 7317 8817 9756 11756 14634 17634 21951 26451 29268 35268 43902 52902 79353 87804 105804 158706 238059 317412 476118 796469 952236 1592938 2389407 3185876 4778814 7168221 9557628 14336442 21504663 28672884 43009326 64513989 86018652 129027978 258055956