Search a number
-
+
50144328 = 2332133317
BaseRepresentation
bin1011111101001…
…0010001001000
310111100121002100
42333102101020
5100314104303
64550433400
71146135243
oct277222110
9114317070
1050144328
112633a1a3
1214962860
13a509000
14693425a
1546078a3
hex2fd2448

50144328 has 96 divisors (see below), whose sum is σ = 147583800. Its totient is φ = 15380352.

The previous prime is 50144323. The next prime is 50144333. The reversal of 50144328 is 82344105.

It is an interprime number because it is at equal distance from previous prime (50144323) and next prime (50144333).

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 49871844 = 522^2 + 7062^2 .

It is not an unprimeable number, because it can be changed into a prime (50144323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158026 + ... + 158342.

Almost surely, 250144328 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 50144328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73791900).

50144328 is an abundant number, since it is smaller than the sum of its proper divisors (97439472).

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

50144328 is a wasteful number, since it uses less digits than its factorization.

50144328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 50144328 is about 7081.2659885080. The cubic root of 50144328 is about 368.7572819399.

The spelling of 50144328 in words is "fifty million, one hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 317 338 468 507 634 676 936 951 1014 1268 1352 1521 1902 2028 2197 2536 2853 3042 3804 4056 4121 4394 5706 6084 6591 7608 8242 8788 11412 12168 12363 13182 16484 17576 19773 22824 24726 26364 32968 37089 39546 49452 52728 53573 74178 79092 98904 107146 148356 158184 160719 214292 296712 321438 428584 482157 642876 696449 964314 1285752 1392898 1928628 2089347 2785796 3857256 4178694 5571592 6268041 8357388 12536082 16714776 25072164 50144328