Search a number
-
+
258836430 = 23519577787
BaseRepresentation
bin11110110110110…
…00011111001110
3200001001020211110
433123120133032
51012230231210
641403432450
76262034106
oct1733303716
9601036743
10258836430
11123119706
1272825726
1341817768
142653a206
1517acc420
hexf6d87ce

258836430 has 64 divisors (see below), whose sum is σ = 655868160. Its totient is φ = 65193984.

The previous prime is 258836401. The next prime is 258836467. The reversal of 258836430 is 34638852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328497 + ... + 329283.

It is an arithmetic number, because the mean of its divisors is an integer number (10247940).

Almost surely, 2258836430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258836430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327934080).

258836430 is an abundant number, since it is smaller than the sum of its proper divisors (397031730).

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

258836430 is a wasteful number, since it uses less digits than its factorization.

258836430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393.

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 258836430 is about 16088.3942641893. The cubic root of 258836430 is about 637.2968918516.

The spelling of 258836430 in words is "two hundred fifty-eight million, eight hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 577 787 1154 1574 1731 2361 2885 3462 3935 4722 5770 7870 8655 10963 11805 14953 17310 21926 23610 29906 32889 44859 54815 65778 74765 89718 109630 149530 164445 224295 328890 448590 454099 908198 1362297 2270495 2724594 4540990 6811485 8627881 13622970 17255762 25883643 43139405 51767286 86278810 129418215 258836430