Search a number
-
+
158385152 = 2101371129
BaseRepresentation
bin10010111000011…
…00010000000000
3102001000210120202
421130030100000
5311021311102
623414424332
73632152202
oct1134142000
9361023522
10158385152
118144a122
12450620a8
1326a76733
141706c772
15dd88e02
hex970c400

158385152 has 44 divisors (see below), whose sum is σ = 319209180. Its totient is φ = 78544896.

The previous prime is 158385131. The next prime is 158385163. The reversal of 158385152 is 251583851.

It can be written as a sum of positive squares in 2 ways, for example, as 48219136 + 110166016 = 6944^2 + 10496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139724 + ... + 140852.

Almost surely, 2158385152 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 158385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159604590).

158385152 is an abundant number, since it is smaller than the sum of its proper divisors (160824028).

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

158385152 is a wasteful number, since it uses less digits than its factorization.

158385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1268 counting only the distinct ones).

The product of its digits is 48000, while the sum is 38.

The square root of 158385152 is about 12585.1162886959. The cubic root of 158385152 is about 541.0509391778.

The spelling of 158385152 in words is "one hundred fifty-eight million, three hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 1129 2192 2258 4384 4516 8768 9032 17536 18064 35072 36128 70144 72256 140288 144512 154673 289024 309346 578048 618692 1156096 1237384 2474768 4949536 9899072 19798144 39596288 79192576 158385152