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2555034048 = 26327290527
BaseRepresentation
bin1001100001001010…
…1011100111000000
320121001202011210200
42120102223213000
520213042042143
61101311125200
7120213300600
oct23022534700
96531664720
102555034048
1110a1282996
125b3813800
1331945ac88
141a3498c00
15ee49c1d3
hex984ab9c0

2555034048 has 126 divisors (see below), whose sum is σ = 8519318496. Its totient is φ = 730001664.

The previous prime is 2555033977. The next prime is 2555034049. The reversal of 2555034048 is 8404305552.

2555034048 is a `hidden beast` number, since 25 + 550 + 3 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555034049) 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 17 ways as a sum of consecutive naturals, for example, 17040 + ... + 73487.

Almost surely, 22555034048 is an apocalyptic number.

2555034048 is a gapful number since it is divisible by the number (28) 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 2555034048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259659248).

2555034048 is an abundant number, since it is smaller than the sum of its proper divisors (5964284448).

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

2555034048 is a wasteful number, since it uses less digits than its factorization.

2555034048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90559 (or 90539 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2555034048 is about 50547.3446186840. The cubic root of 2555034048 is about 1367.0956370107.

The spelling of 2555034048 in words is "two billion, five hundred fifty-five million, thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 90527 181054 271581 362108 543162 633689 724216 814743 1086324 1267378 1448432 1629486 1901067 2172648 2534756 2896864 3258972 3802134 4345296 4435823 5069512 5703201 5793728 6517944 7604268 8690592 8871646 10139024 11406402 13035888 13307469 15208536 17381184 17743292 20278048 22812804 26071776 26614938 30417072 35486584 39922407 40556096 45625608 52143552 53229876 60834144 70973168 79844814 91251216 106459752 121668288 141946336 159689628 182502432 212919504 283892672 319379256 365004864 425839008 638758512 851678016 1277517024 2555034048