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2755044900 = 223452340129
BaseRepresentation
bin1010010000110110…
…1010011000100100
321010000002210010000
42210031222120210
521120242414100
61133214101300
7125162331606
oct24415523044
97100083100
102755044900
111194173013
1264a7aa830
1334ba1a1aa
141c1c81176
15111d09900
hexa436a624

2755044900 has 90 divisors (see below), whose sum is σ = 8930793410. Its totient is φ = 734676480.

The previous prime is 2755044839. The next prime is 2755044907. The reversal of 2755044900 is 94405572.

It can be written as a sum of positive squares in 3 ways, for example, as 54756 + 2754990144 = 234^2 + 52488^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2755044907) 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 29 ways as a sum of consecutive naturals, for example, 161965 + ... + 178164.

Almost surely, 22755044900 is an apocalyptic number.

2755044900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2755044900 is an abundant number, since it is smaller than the sum of its proper divisors (6175748510).

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

2755044900 is a wasteful number, since it uses less digits than its factorization.

2755044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340155 (or 340139 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2755044900 is about 52488.5216023465. The cubic root of 2755044900 is about 1401.8758697402.

The spelling of 2755044900 in words is "two billion, seven hundred fifty-five million, forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 340129 680258 1020387 1360516 1700645 2040774 3061161 3401290 4081548 5101935 6122322 6802580 8503225 9183483 10203870 12244644 15305805 17006450 18366966 20407740 25509675 27550449 30611610 34012900 36733932 45917415 51019350 55100898 61223220 76529025 91834830 102038700 110201796 137752245 153058050 183669660 229587075 275504490 306116100 459174150 551008980 688761225 918348300 1377522450 2755044900