Search a number
-
+
149250864 = 24372233189
BaseRepresentation
bin10001110010101…
…10001100110000
3101101211201200210
420321112030300
5301202011424
622450544120
73461416500
oct1071261460
9341751623
10149250864
1177280424
1241b98040
1324bc8c29
1415b71a00
15d182729
hex8e56330

149250864 has 240 divisors, whose sum is σ = 488540160. Its totient is φ = 39029760.

The previous prime is 149250863. The next prime is 149250869. The reversal of 149250864 is 468052941.

It is not an unprimeable number, because it can be changed into a prime (149250863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676932 + ... + 1677020.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2149250864 is an apocalyptic number.

149250864 is a gapful number since it is divisible by the number (14) 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 149250864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

149250864 is an abundant number, since it is smaller than the sum of its proper divisors (339289296).

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

149250864 is a wasteful number, since it uses less digits than its factorization.

149250864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 149250864 is about 12216.8270839854. The cubic root of 149250864 is about 530.4432793205.

The spelling of 149250864 in words is "one hundred forty-nine million, two hundred fifty thousand, eight hundred sixty-four".