Search a number
-
+
5050044240 = 243543148821
BaseRepresentation
bin1001011010000000…
…11000111101010000
3111000221112211100120
410231000120331100
540320302403430
62153035550240
7236100445023
oct45500307520
914027484316
105050044240
112161688a8a
12b8b2bb380
13626331177
1435c9ab1ba
151e853e610
hex12d018f50

5050044240 has 80 divisors (see below), whose sum is σ = 15691781376. Its totient is φ = 1343526400.

The previous prime is 5050044221. The next prime is 5050044247. The reversal of 5050044240 is 424400505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5050044240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5050044247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79030 + ... + 127850.

Almost surely, 25050044240 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 5050044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845890688).

5050044240 is an abundant number, since it is smaller than the sum of its proper divisors (10641737136).

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

5050044240 is a wasteful number, since it uses less digits than its factorization.

5050044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49268 (or 49262 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 5050044240 is about 71063.6632886316. The cubic root of 5050044240 is about 1715.6619815519.

Adding to 5050044240 its reverse (424400505), we get a palindrome (5474444745).

The spelling of 5050044240 in words is "five billion, fifty million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 17240 20688 25860 34480 48821 51720 97642 103440 146463 195284 244105 292926 390568 488210 585852 732315 781136 976420 1171704 1464630 1952840 2343408 2929260 3905680 5858520 11717040 21041851 42083702 63125553 84167404 105209255 126251106 168334808 210418510 252502212 315627765 336669616 420837020 505004424 631255530 841674040 1010008848 1262511060 1683348080 2525022120 5050044240