Search a number
-
+
500742144 = 2113273881
BaseRepresentation
bin11101110110001…
…011100000000000
31021220020100002100
4131312023200000
52011142222034
6121404350400
715260144430
oct3566134000
91256210070
10500742144
11237723a91
1211b845400
137c984b36
144a70a2c0
152de63099
hex1dd8b800

500742144 has 144 divisors (see below), whose sum is σ = 1653266160. Its totient is φ = 143032320.

The previous prime is 500742139. The next prime is 500742199. The reversal of 500742144 is 441247005.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127084 + ... + 130964.

It is an arithmetic number, because the mean of its divisors is an integer number (11481015).

Almost surely, 2500742144 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 500742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826633080).

500742144 is an abundant number, since it is smaller than the sum of its proper divisors (1152524016).

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

500742144 is a wasteful number, since it uses less digits than its factorization.

500742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 500742144 is about 22377.2684660126. The cubic root of 500742144 is about 794.0930252429.

Adding to 500742144 its reverse (441247005), we get a palindrome (941989149).

The spelling of 500742144 in words is "five hundred million, seven hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 3881 4032 4608 5376 6144 7168 7762 8064 9216 10752 11643 14336 15524 16128 18432 21504 23286 27167 31048 32256 34929 43008 46572 54334 62096 64512 69858 81501 93144 108668 124192 129024 139716 163002 186288 217336 244503 248384 279432 326004 372576 434672 489006 496768 558864 652008 745152 869344 978012 993536 1117728 1304016 1490304 1738688 1956024 1987072 2235456 2608032 2980608 3477376 3912048 3974144 4470912 5216064 5961216 6954752 7824096 7948288 8941824 10432128 11922432 13909504 15648192 17883648 20864256 23844864 27819008 31296384 35767296 41728512 55638016 62592768 71534592 83457024 125185536 166914048 250371072 500742144