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148944 = 24329107
BaseRepresentation
bin100100010111010000
321120022110
4210113100
514231234
63105320
71160145
oct442720
9246273
10148944
11a19a4
1272240
1352a43
143c3cc
152e1e9
hex245d0

148944 has 40 divisors (see below), whose sum is σ = 401760. Its totient is φ = 47488.

The previous prime is 148933. The next prime is 148949. The reversal of 148944 is 449841.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148949) by changing a digit.

148944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2148944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

148944 is an abundant number, since it is smaller than the sum of its proper divisors (252816).

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

148944 is a wasteful number, since it uses less digits than its factorization.

148944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 148944 is about 385.9326366090. The cubic root of 148944 is about 53.0079494425.

The spelling of 148944 in words is "one hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1712 2568 3103 5136 6206 9309 12412 18618 24824 37236 49648 74472 148944