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2025541400 = 235219950893
BaseRepresentation
bin111100010111011…
…0100111100011000
312020011102011102212
41320232310330120
513122014311100
6532554214252
7101123550341
oct17056647430
95204364385
102025541400
1194a402263
12486424388
1326384ab0c
141530270c8
15bcc5a635
hex78bb4f18

2025541400 has 48 divisors (see below), whose sum is σ = 4733142000. Its totient is φ = 806129280.

The previous prime is 2025541373. The next prime is 2025541403. The reversal of 2025541400 is 41455202.

It is a happy number.

It is a super-2 number, since 2×20255414002 = 8205635926227920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025541403) 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 11 ways as a sum of consecutive naturals, for example, 14354 + ... + 65246.

It is an arithmetic number, because the mean of its divisors is an integer number (98607125).

Almost surely, 22025541400 is an apocalyptic number.

2025541400 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 2025541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366571000).

2025541400 is an abundant number, since it is smaller than the sum of its proper divisors (2707600600).

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

2025541400 is a wasteful number, since it uses less digits than its factorization.

2025541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51108 (or 51099 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2025541400 is about 45006.0151535325. The cubic root of 2025541400 is about 1265.2617371517.

Adding to 2025541400 its reverse (41455202), we get a palindrome (2066996602).

The spelling of 2025541400 in words is "two billion, twenty-five million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 995 1592 1990 3980 4975 7960 9950 19900 39800 50893 101786 203572 254465 407144 508930 1017860 1272325 2035720 2544650 5089300 10127707 10178600 20255414 40510828 50638535 81021656 101277070 202554140 253192675 405108280 506385350 1012770700 2025541400