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149925888 = 212327283
BaseRepresentation
bin10001110111110…
…11000000000000
3101110010000122200
420323323000000
5301340112023
622513233200
73500230500
oct1073730000
9343100580
10149925888
11776a15a2
1242262800
13250a4258
1415ca9a00
15d267743
hex8efb000

149925888 has 234 divisors, whose sum is σ = 509840604. Its totient is φ = 42319872.

The previous prime is 149925883. The next prime is 149925899. The reversal of 149925888 is 888529941.

It is a super-3 number, since 3×1499258883 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (149925883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806295 + ... + 1806377.

It is an arithmetic number, because the mean of its divisors is an integer number (2178806).

Almost surely, 2149925888 is an apocalyptic number.

149925888 is a gapful number since it is divisible by the number (18) 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 149925888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254920302).

149925888 is an abundant number, since it is smaller than the sum of its proper divisors (359914716).

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

149925888 is an equidigital number, since it uses as much as digits as its factorization.

149925888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 149925888 is about 12244.4227303699. The cubic root of 149925888 is about 531.2417637847.

The spelling of 149925888 in words is "one hundred forty-nine million, nine hundred twenty-five thousand, eight hundred eighty-eight".