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148192 = 2511421
BaseRepresentation
bin100100001011100000
321112021121
4210023200
514220232
63102024
71155022
oct441340
9245247
10148192
11a1380
1271914
13525b5
143c012
152dd97
hex242e0

148192 has 24 divisors (see below), whose sum is σ = 319032. Its totient is φ = 67200.

The previous prime is 148171. The next prime is 148193. The reversal of 148192 is 291841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148193) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (13293).

2148192 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 148192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159516).

148192 is an abundant number, since it is smaller than the sum of its proper divisors (170840).

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

148192 is a wasteful number, since it uses less digits than its factorization.

148192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 148192 is about 384.9571404715. The cubic root of 148192 is about 52.9185886696.

The spelling of 148192 in words is "one hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 421 842 1684 3368 4631 6736 9262 13472 18524 37048 74096 148192