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2505050300 = 2252175327803
BaseRepresentation
bin1001010101010000…
…0000100010111100
320110120200201222202
42111110000202330
520112243102200
61052323531032
7116035401434
oct22524004274
96416621882
102505050300
111076043405
1259ab29a78
1330bcaa0ac
1419a9a72c4
15e9dc71d5
hex955008bc

2505050300 has 72 divisors (see below), whose sum is σ = 5864530896. Its totient is φ = 925250560.

The previous prime is 2505050299. The next prime is 2505050323. The reversal of 2505050300 is 30505052.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76199 + ... + 104001.

It is an arithmetic number, because the mean of its divisors is an integer number (81451818).

Almost surely, 22505050300 is an apocalyptic number.

2505050300 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 2505050300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932265448).

2505050300 is an abundant number, since it is smaller than the sum of its proper divisors (3359480596).

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

2505050300 is a wasteful number, since it uses less digits than its factorization.

2505050300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27887 (or 27880 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 2505050300 is about 50050.4775201995. The cubic root of 2505050300 is about 1358.1221018050.

Adding to 2505050300 its reverse (30505052), we get a palindrome (2535555352).

The spelling of 2505050300 in words is "two billion, five hundred five million, fifty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 27803 45050 55606 90100 111212 139015 278030 472651 556060 695075 945302 1390150 1473559 1890604 2363255 2780300 2947118 4726510 5894236 7367795 9453020 11816275 14735590 23632550 25050503 29471180 36838975 47265100 50101006 73677950 100202012 125252515 147355900 250505030 501010060 626262575 1252525150 2505050300