Search a number
-
+
239426000 = 24531110883
BaseRepresentation
bin11100100010101…
…01100111010000
3121200112002201122
432101111213100
5442243113000
635431421412
75635041662
oct1621254720
9550462648
10239426000
11113171330
1268224868
133a7ac7b8
1423b26532
1516046085
hexe4559d0

239426000 has 80 divisors (see below), whose sum is σ = 631620288. Its totient is φ = 87056000.

The previous prime is 239425981. The next prime is 239426003. The reversal of 239426000 is 624932.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239426003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16559 + ... + 27441.

Almost surely, 2239426000 is an apocalyptic number.

239426000 is a gapful number since it is divisible by the number (20) 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 239426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315810144).

239426000 is an abundant number, since it is smaller than the sum of its proper divisors (392194288).

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

239426000 is a wasteful number, since it uses less digits than its factorization.

239426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 239426000 is about 15473.3965243575. The cubic root of 239426000 is about 620.9506747359.

The spelling of 239426000 in words is "two hundred thirty-nine million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10883 11000 21766 22000 43532 54415 87064 108830 119713 174128 217660 239426 272075 435320 478852 544150 598565 870640 957704 1088300 1197130 1360375 1915408 2176600 2394260 2720750 2992825 4353200 4788520 5441500 5985650 9577040 10883000 11971300 14964125 21766000 23942600 29928250 47885200 59856500 119713000 239426000