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2532512500 = 22557103281
BaseRepresentation
bin1001011011110011…
…0001001011110100
320112111100222001021
42112330301023310
520141310400000
61055144310524
7116521000240
oct22674611364
96474328037
102532512500
11108a5a0141
125a8172444
133148a3c0b
141a04b5420
15ec4ee11a
hex96f312f4

2532512500 has 144 divisors (see below), whose sum is σ = 6415089408. Its totient is φ = 856800000.

The previous prime is 2532512483. The next prime is 2532512503. The reversal of 2532512500 is 52152352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532512503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9012360 + ... + 9012640.

It is an arithmetic number, because the mean of its divisors is an integer number (44549232).

Almost surely, 22532512500 is an apocalyptic number.

2532512500 is a gapful number since it is divisible by the number (20) 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 2532512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207544704).

2532512500 is an abundant number, since it is smaller than the sum of its proper divisors (3882576908).

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

2532512500 is a wasteful number, since it uses less digits than its factorization.

2532512500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2532512500 is about 50324.0747555283. The cubic root of 2532512500 is about 1363.0669861990.

Adding to 2532512500 its reverse (52152352), we get a palindrome (2584664852).

The spelling of 2532512500 in words is "two billion, five hundred thirty-two million, five hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 125 140 175 206 250 281 350 412 500 515 562 625 700 721 875 1030 1124 1250 1405 1442 1750 1967 2060 2500 2575 2810 2884 3125 3500 3605 3934 4375 5150 5620 6250 7025 7210 7868 8750 9835 10300 12500 12875 14050 14420 17500 18025 19670 21875 25750 28100 28943 35125 36050 39340 43750 49175 51500 57886 64375 70250 72100 87500 90125 98350 115772 128750 140500 144715 175625 180250 196700 202601 245875 257500 289430 321875 351250 360500 405202 450625 491750 578860 643750 702500 723575 810404 878125 901250 983500 1013005 1229375 1287500 1447150 1756250 1802500 2026010 2253125 2458750 2894300 3512500 3617875 4052020 4506250 4917500 5065025 6146875 7235750 9012500 10130050 12293750 14471500 18089375 20260100 24587500 25325125 36178750 50650250 72357500 90446875 101300500 126625625 180893750 253251250 361787500 506502500 633128125 1266256250 2532512500