Search a number
-
+
258299064 = 23333593331
BaseRepresentation
bin11110110010101…
…01010010111000
3200000000221201000
433121111102320
51012111032224
641344125000
76254335332
oct1731252270
9600027630
10258299064
11122891a01
1272606760
1341689caa
142643a452
1517a230c9
hexf6554b8

258299064 has 64 divisors (see below), whose sum is σ = 719712000. Its totient is φ = 85834080.

The previous prime is 258299033. The next prime is 258299087. The reversal of 258299064 is 460992852.

258299064 is a `hidden beast` number, since 2 + 582 + 9 + 9 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75879 + ... + 79209.

It is an arithmetic number, because the mean of its divisors is an integer number (11245500).

Almost surely, 2258299064 is an apocalyptic number.

258299064 is a gapful number since it is divisible by the number (24) 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 258299064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

258299064 is an abundant number, since it is smaller than the sum of its proper divisors (461412936).

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

258299064 is a wasteful number, since it uses less digits than its factorization.

258299064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 258299064 is about 16071.6851636659. The cubic root of 258299064 is about 636.8555591429.

The spelling of 258299064 in words is "two hundred fifty-eight million, two hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 718 1077 1436 2154 2872 3231 3331 4308 6462 6662 8616 9693 9993 12924 13324 19386 19986 25848 26648 29979 38772 39972 59958 77544 79944 89937 119916 179874 239832 359748 719496 1195829 2391658 3587487 4783316 7174974 9566632 10762461 14349948 21524922 28699896 32287383 43049844 64574766 86099688 129149532 258299064