Search a number
-
+
258550020 = 223255872447
BaseRepresentation
bin11110110100100…
…10100100000100
3200000111200221200
433122102210010
51012142100040
641353342500
76256432101
oct1732224404
9600450850
10258550020
11122a43503
1272707a30
13417472a1
14264a3aa8
1517a72630
hexf692904

258550020 has 72 divisors (see below), whose sum is σ = 785925504. Its totient is φ = 68801088.

The previous prime is 258550009. The next prime is 258550021. The reversal of 258550020 is 20055852.

It is a super-2 number, since 2×2585500202 = 133696225684000800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258550021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104437 + ... + 106883.

It is an arithmetic number, because the mean of its divisors is an integer number (10915632).

Almost surely, 2258550020 is an apocalyptic number.

258550020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258550020 is an abundant number, since it is smaller than the sum of its proper divisors (527375484).

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

258550020 is a wasteful number, since it uses less digits than its factorization.

258550020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 258550020 is about 16079.4906635751. The cubic root of 258550020 is about 637.0617426128.

The spelling of 258550020 in words is "two hundred fifty-eight million, five hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 587 1174 1761 2348 2447 2935 3522 4894 5283 5870 7044 7341 8805 9788 10566 11740 12235 14682 17610 21132 22023 24470 26415 29364 35220 36705 44046 48940 52830 73410 88092 105660 110115 146820 220230 440460 1436389 2872778 4309167 5745556 7181945 8618334 12927501 14363890 17236668 21545835 25855002 28727780 43091670 51710004 64637505 86183340 129275010 258550020