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148392 = 2334229
BaseRepresentation
bin100100001110101000
321112120000
4210032220
514222032
63103000
71155426
oct441650
9245500
10148392
11a1542
1271a60
135270a
143c116
152de7c
hex243a8

148392 has 40 divisors (see below), whose sum is σ = 417450. Its totient is φ = 49248.

The previous prime is 148387. The next prime is 148399. The reversal of 148392 is 293841.

It can be divided in two parts, 14839 and 2, that added together give a palindrome (14841).

It can be written as a sum of positive squares in only one way, i.e., 93636 + 54756 = 306^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (148399) 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 9 ways as a sum of consecutive naturals, for example, 534 + ... + 762.

2148392 is an apocalyptic number.

148392 is a gapful number since it is divisible by the number (12) 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 148392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208725).

148392 is an abundant number, since it is smaller than the sum of its proper divisors (269058).

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

148392 is a wasteful number, since it uses less digits than its factorization.

148392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 148392 is about 385.2168220626. The cubic root of 148392 is about 52.9423842862.

The spelling of 148392 in words is "one hundred forty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 324 458 648 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 18549 24732 37098 49464 74196 148392