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149744 = 2472191
BaseRepresentation
bin100100100011110000
321121102002
4210203300
514242434
63113132
71162400
oct444360
9247362
10149744
11a2561
12727a8
135320a
143c800
152e57e
hex248f0

149744 has 30 divisors (see below), whose sum is σ = 339264. Its totient is φ = 63840.

The previous prime is 149731. The next prime is 149749. The reversal of 149744 is 447941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 689 + ... + 879.

2149744 is an apocalyptic number.

149744 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 149744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).

149744 is an abundant number, since it is smaller than the sum of its proper divisors (189520).

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

149744 is a wasteful number, since it uses less digits than its factorization.

149744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 149744 is about 386.9676989104. The cubic root of 149744 is about 53.1026845145.

The spelling of 149744 in words is "one hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 191 196 382 392 764 784 1337 1528 2674 3056 5348 9359 10696 18718 21392 37436 74872 149744