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2555700400 = 2452112920029
BaseRepresentation
bin1001100001010100…
…1110010010110000
320121010000000212101
42120111032102300
520213224403100
61101333310144
7120222044401
oct23025162260
96533000771
102555700400
1110a16985a0
125b3a95354
13319632376
141a35cd9a8
15ee57e86a
hex9854e4b0

2555700400 has 120 divisors (see below), whose sum is σ = 6929578800. Its totient is φ = 897254400.

The previous prime is 2555700397. The next prime is 2555700409. The reversal of 2555700400 is 40075552.

It is not an unprimeable number, because it can be changed into a prime (2555700409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117586 + ... + 137614.

It is an arithmetic number, because the mean of its divisors is an integer number (57746490).

Almost surely, 22555700400 is an apocalyptic number.

2555700400 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 2555700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464789400).

2555700400 is an abundant number, since it is smaller than the sum of its proper divisors (4373878400).

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

2555700400 is a wasteful number, since it uses less digits than its factorization.

2555700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 2555700400 is about 50553.9355540199. The cubic root of 2555700400 is about 1367.2144727043.

Adding to 2555700400 its reverse (40075552), we get a palindrome (2595775952).

The spelling of 2555700400 in words is "two billion, five hundred fifty-five million, seven hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 20029 25520 31900 40058 63800 80116 100145 127600 160232 200290 220319 320464 400580 440638 500725 580841 801160 881276 1001450 1101595 1161682 1602320 1762552 2002900 2203190 2323364 2904205 3525104 4005800 4406380 4646728 5507975 5808410 6389251 8011600 8812760 9293456 11015950 11616820 12778502 14521025 17625520 22031900 23233640 25557004 29042050 31946255 44063800 46467280 51114008 58084100 63892510 88127600 102228016 116168200 127785020 159731275 232336400 255570040 319462550 511140080 638925100 1277850200 2555700400