Search a number
-
+
148648128 = 2633312339
BaseRepresentation
bin10001101110000…
…11000011000000
3101100201002220020
420313003003000
5301023220003
622430013440
73453326316
oct1067030300
9340632806
10148648128
11769a95a2
1241947280
1324a47795
1415a560b6
15d0b3d53
hex8dc30c0

148648128 has 56 divisors (see below), whose sum is σ = 394655040. Its totient is φ = 49378560.

The previous prime is 148648127. The next prime is 148648163. The reversal of 148648128 is 821846841.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148648128.

It is not an unprimeable number, because it can be changed into a prime (148648121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62383 + ... + 64721.

Almost surely, 2148648128 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 148648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197327520).

148648128 is an abundant number, since it is smaller than the sum of its proper divisors (246006912).

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

148648128 is a wasteful number, since it uses less digits than its factorization.

148648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 148648128 is about 12192.1338575329. The cubic root of 148648128 is about 529.7282670183.

The spelling of 148648128 in words is "one hundred forty-eight million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1324 1986 2339 2648 3972 4678 5296 7017 7944 9356 10592 14034 15888 18712 21184 28068 31776 37424 56136 63552 74848 112272 149696 224544 449088 774209 1548418 2322627 3096836 4645254 6193672 9290508 12387344 18581016 24774688 37162032 49549376 74324064 148648128