Search a number
-
+
258950440 = 23573129833
BaseRepresentation
bin11110110111101…
…00010100101000
3200001021001020001
433123310110220
51012242403230
641410112344
76263020360
oct1733642450
9601231201
10258950440
11123197331
127287b6b4
1341857618
14265699a0
1517b010ca
hexf6f4528

258950440 has 64 divisors (see below), whose sum is σ = 687375360. Its totient is φ = 85916160.

The previous prime is 258950407. The next prime is 258950441. The reversal of 258950440 is 44059852.

It is a self number, because there is not a number n which added to its sum of digits gives 258950440.

It is not an unprimeable number, because it can be changed into a prime (258950441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6237 + ... + 23596.

It is an arithmetic number, because the mean of its divisors is an integer number (10740240).

Almost surely, 2258950440 is an apocalyptic number.

258950440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258950440 is an abundant number, since it is smaller than the sum of its proper divisors (428424920).

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

258950440 is a wasteful number, since it uses less digits than its factorization.

258950440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29882 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 258950440 is about 16091.9371114854. The cubic root of 258950440 is about 637.3904484313.

The spelling of 258950440 in words is "two hundred fifty-eight million, nine hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 29833 59666 119332 149165 208831 238664 298330 417662 596660 835324 924823 1044155 1193320 1670648 1849646 2088310 3699292 4176620 4624115 6473761 7398584 8353240 9248230 12947522 18496460 25895044 32368805 36992920 51790088 64737610 129475220 258950440