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2500272100 = 2252711572243
BaseRepresentation
bin1001010100000111…
…0001111111100100
320110020200222112101
42111001301333210
520110032201400
61052033301444
7115646651014
oct22501617744
96406628471
102500272100
11107337a487
12599404884
1330acc6261
1419a0c1c44
15e978156a
hex95071fe4

2500272100 has 72 divisors (see below), whose sum is σ = 5539520448. Its totient is φ = 979305600.

The previous prime is 2500272083. The next prime is 2500272133. The reversal of 2500272100 is 12720052.

2500272100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1113579 + ... + 1115821.

It is an arithmetic number, because the mean of its divisors is an integer number (76937784).

Almost surely, 22500272100 is an apocalyptic number.

2500272100 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 2500272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769760224).

2500272100 is an abundant number, since it is smaller than the sum of its proper divisors (3039248348).

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

2500272100 is a wasteful number, since it uses less digits than its factorization.

2500272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2500272100 is about 50002.7209259656. The cubic root of 2500272100 is about 1357.2580460467.

Adding to 2500272100 its reverse (12720052), we get a palindrome (2512992152).

The spelling of 2500272100 in words is "two billion, five hundred million, two hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 157 284 314 355 628 710 785 1420 1570 1775 2243 3140 3550 3925 4486 7100 7850 8972 11147 11215 15700 22294 22430 44588 44860 55735 56075 111470 112150 159253 222940 224300 278675 318506 352151 557350 637012 704302 796265 1114700 1408604 1592530 1760755 3185060 3521510 3981325 7043020 7962650 8803775 15925300 17607550 25002721 35215100 50005442 100010884 125013605 250027210 500054420 625068025 1250136050 2500272100