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52487100 = 223252292011
BaseRepresentation
bin1100100000111…
…0001110111100
310122202121202200
43020032032330
5101414041400
65112551500
71205063421
oct310161674
9118677680
1052487100
112769a376
12156b2590
13ab49473
146d83d48
15491bb00
hex320e3bc

52487100 has 108 divisors (see below), whose sum is σ = 170275560. Its totient is φ = 13507200.

The previous prime is 52487077. The next prime is 52487107. The reversal of 52487100 is 178425.

52487100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52487107) 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 35 ways as a sum of consecutive naturals, for example, 25095 + ... + 27105.

Almost surely, 252487100 is an apocalyptic number.

52487100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52487100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85137780).

52487100 is an abundant number, since it is smaller than the sum of its proper divisors (117788460).

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

52487100 is a wasteful number, since it uses less digits than its factorization.

52487100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 52487100 is about 7244.7981338337. The cubic root of 52487100 is about 374.4129481332.

The spelling of 52487100 in words is "fifty-two million, four hundred eighty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2011 2175 2610 2900 4022 4350 5220 6033 6525 8044 8700 10055 12066 13050 18099 20110 24132 26100 30165 36198 40220 50275 58319 60330 72396 90495 100550 116638 120660 150825 174957 180990 201100 233276 291595 301650 349914 361980 452475 524871 583190 603300 699828 874785 904950 1049742 1166380 1457975 1749570 1809900 2099484 2624355 2915950 3499140 4373925 5248710 5831900 8747850 10497420 13121775 17495700 26243550 52487100