Search a number
-
+
542550140 = 2251147137383
BaseRepresentation
bin100000010101101…
…010100001111100
31101210220101212122
4200111222201330
52102343101030
6125500422112
716305412556
oct4025524174
91353811778
10542550140
11259289a50
12131847938
13885325b2
14520b04d6
15329708e5
hex2056a87c

542550140 has 96 divisors (see below), whose sum is σ = 1281982464. Its totient is φ = 191183360.

The previous prime is 542550137. The next prime is 542550161. The reversal of 542550140 is 41055245.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1416389 + ... + 1416771.

It is an arithmetic number, because the mean of its divisors is an integer number (13353984).

Almost surely, 2542550140 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 542550140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640991232).

542550140 is an abundant number, since it is smaller than the sum of its proper divisors (739432324).

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

542550140 is a wasteful number, since it uses less digits than its factorization.

542550140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 542550140 is about 23292.7057251836. The cubic root of 542550140 is about 815.6051510659.

The spelling of 542550140 in words is "five hundred forty-two million, five hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 137 188 220 235 274 383 470 517 548 685 766 940 1034 1370 1507 1532 1915 2068 2585 2740 3014 3830 4213 5170 6028 6439 7535 7660 8426 10340 12878 15070 16852 18001 21065 25756 30140 32195 36002 42130 52471 64390 70829 72004 84260 90005 104942 128780 141658 180010 198011 209884 262355 283316 354145 360020 396022 524710 577181 708290 792044 990055 1049420 1154362 1416580 1980110 2308724 2466137 2885905 3960220 4932274 5771810 9864548 11543620 12330685 24661370 27127507 49322740 54255014 108510028 135637535 271275070 542550140