Search a number
-
+
258696042 = 231123193883
BaseRepresentation
bin11110110101101…
…10001101101010
3200000210010020220
433122312031222
51012211233132
641400430510
76260610603
oct1732661552
9600703226
10258696042
11123033190
1272778436
13417988a7
1426500daa
1517aa0a2c
hexf6b636a

258696042 has 64 divisors (see below), whose sum is σ = 592690176. Its totient is φ = 74511360.

The previous prime is 258696017. The next prime is 258696091. The reversal of 258696042 is 240696852.

It is a junction number, because it is equal to n+sod(n) for n = 258695985 and 258696003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292533 + ... + 293415.

It is an arithmetic number, because the mean of its divisors is an integer number (9260784).

Almost surely, 2258696042 is an apocalyptic number.

258696042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 258696042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296345088).

258696042 is an abundant number, since it is smaller than the sum of its proper divisors (333994134).

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

258696042 is a wasteful number, since it uses less digits than its factorization.

258696042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115.

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 258696042 is about 16084.0306515500. The cubic root of 258696042 is about 637.1816517411.

The spelling of 258696042 in words is "two hundred fifty-eight million, six hundred ninety-six thousand, forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 193 253 386 506 579 759 883 1158 1518 1766 2123 2649 4246 4439 5298 6369 8878 9713 12738 13317 19426 20309 26634 29139 40618 48829 58278 60927 97658 121854 146487 170419 223399 292974 340838 446798 511257 670197 1022514 1340394 1874609 3749218 3919637 5623827 7839274 11247654 11758911 23517822 43116007 86232014 129348021 258696042