Search a number
-
+
50040144 = 24327114513
BaseRepresentation
bin1011111011100…
…0110101010000
310111011022011200
42332320311100
5100302241034
64544311200
71145222430
oct276706520
9114138150
1050040144
11262789a0
1214912500
13a4a076b
1469082c0
1545d6a99
hex2fb8d50

50040144 has 120 divisors (see below), whose sum is σ = 174637632. Its totient is φ = 12994560.

The previous prime is 50040143. The next prime is 50040149. The reversal of 50040144 is 44104005.

Adding to 50040144 its reverse (44104005), we get a palindrome (94144149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50040143) 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, 8832 + ... + 13344.

Almost surely, 250040144 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 50040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318816).

50040144 is an abundant number, since it is smaller than the sum of its proper divisors (124597488).

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

50040144 is a wasteful number, since it uses less digits than its factorization.

50040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 50040144 is about 7073.9058517908. The cubic root of 50040144 is about 368.5017179963.

The spelling of 50040144 in words is "fifty million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 4513 5544 9026 11088 13539 18052 27078 31591 36104 40617 49643 54156 63182 72208 81234 94773 99286 108312 126364 148929 162468 189546 198572 216624 252728 284319 297858 324936 347501 379092 397144 446787 505456 568638 595716 649872 695002 758184 794288 893574 1042503 1137276 1191432 1390004 1516368 1787148 2085006 2274552 2382864 2780008 3127509 3574296 4170012 4549104 5560016 6255018 7148592 8340024 12510036 16680048 25020072 50040144