Search a number
-
+
148341492 = 2232135632
BaseRepresentation
bin10001101011110…
…00001011110100
3101100010112021100
420311320023310
5300433411432
622415250100
73450611325
oct1065701364
9340115240
10148341492
117680a182
1241819930
132496b040
14159b644c
15d05307c
hex8d782f4

148341492 has 54 divisors (see below), whose sum is σ = 404537042. Its totient is φ = 45562464.

The previous prime is 148341491. The next prime is 148341497. The reversal of 148341492 is 294143841.

It is a happy number.

148341492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 102697956 + 45643536 = 10134^2 + 6756^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148341491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 263203 + ... + 263765.

Almost surely, 2148341492 is an apocalyptic number.

148341492 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 148341492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202268521).

148341492 is an abundant number, since it is smaller than the sum of its proper divisors (256195550).

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

148341492 is a wasteful number, since it uses less digits than its factorization.

148341492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 581 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 148341492 is about 12179.5522085174. The cubic root of 148341492 is about 529.3637696011.

The spelling of 148341492 in words is "one hundred forty-eight million, three hundred forty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 563 1126 1689 2252 3378 5067 6756 7319 10134 14638 20268 21957 29276 43914 65871 87828 131742 263484 316969 633938 950907 1267876 1901814 2852721 3803628 4120597 5705442 8241194 11410884 12361791 16482388 24723582 37085373 49447164 74170746 148341492