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2025240516 = 2233133474157
BaseRepresentation
bin111100010110110…
…1011011111000100
312020010211212201000
41320231223133010
513121430144031
6532543533300
7101121155205
oct17055533704
95203755630
102025240516
1194a2171a2
124862ba230
13263773b90
14152d895ac
15bcbeb3e6
hex78b6b7c4

2025240516 has 96 divisors (see below), whose sum is σ = 5672177280. Its totient is φ = 621205632.

The previous prime is 2025240499. The next prime is 2025240523. The reversal of 2025240516 is 6150425202.

2025240516 is a `hidden beast` number, since 2 + 0 + 252 + 405 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2025240516.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485110 + ... + 489266.

It is an arithmetic number, because the mean of its divisors is an integer number (59085180).

Almost surely, 22025240516 is an apocalyptic number.

2025240516 is a gapful number since it is divisible by the number (26) 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 2025240516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836088640).

2025240516 is an abundant number, since it is smaller than the sum of its proper divisors (3646936764).

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

2025240516 is a wasteful number, since it uses less digits than its factorization.

2025240516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2025240516 is about 45002.6723206522. The cubic root of 2025240516 is about 1265.1990846242.

Adding to 2025240516 its reverse (6150425202), we get a palindrome (8175665718).

The spelling of 2025240516 in words is "two billion, twenty-five million, two hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 347 351 468 694 702 1041 1388 1404 2082 3123 4157 4164 4511 6246 8314 9022 9369 12471 12492 13533 16628 18044 18738 24942 27066 37413 37476 40599 49884 54041 54132 74826 81198 108082 112239 121797 149652 162123 162396 216164 224478 243594 324246 448956 486369 487188 648492 972738 1442479 1459107 1945476 2884958 2918214 4327437 5769916 5836428 8654874 12982311 17309748 18752227 25964622 37504454 38946933 51929244 56256681 75008908 77893866 112513362 155787732 168770043 225026724 337540086 506310129 675080172 1012620258 2025240516