Search a number
-
+
148009728 = 2834392
BaseRepresentation
bin10001101001001…
…11001100000000
3101022111200011210
420310213030000
5300342302403
622404210120
73445030146
oct1064471400
9338450153
10148009728
1176602999
1241699940
1324883029
141592b596
15ced9b03
hex8d27300

148009728 has 54 divisors (see below), whose sum is σ = 394821084. Its totient is φ = 49224192.

The previous prime is 148009711. The next prime is 148009751. The reversal of 148009728 is 827900841.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336933 + ... + 337371.

Almost surely, 2148009728 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 148009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197410542).

148009728 is an abundant number, since it is smaller than the sum of its proper divisors (246811356).

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

148009728 is an frugal number, since it uses more digits than its factorization.

148009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 148009728 is about 12165.9248723638. The cubic root of 148009728 is about 528.9688364211.

The spelling of 148009728 in words is "one hundred forty-eight million, nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 439 768 878 1317 1756 2634 3512 5268 7024 10536 14048 21072 28096 42144 56192 84288 112384 168576 192721 337152 385442 578163 770884 1156326 1541768 2312652 3083536 4625304 6167072 9250608 12334144 18501216 24668288 37002432 49336576 74004864 148009728