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2755874304 = 29321931477
BaseRepresentation
bin1010010001000011…
…0100111000000000
321010001122220211200
42210100310320000
521121000434204
61133243541200
7125202354651
oct24420647000
97101586750
102755874304
11119468a177
1264ab2a800
1334bc4a871
141c2019528
15111e20539
hexa4434e00

2755874304 has 120 divisors (see below), whose sum is σ = 8372518440. Its totient is φ = 870248448.

The previous prime is 2755874269. The next prime is 2755874309. The reversal of 2755874304 is 4034785572.

2755874304 is a `hidden beast` number, since 27 + 5 + 587 + 43 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2755874304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755874309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71814 + ... + 103290.

It is an arithmetic number, because the mean of its divisors is an integer number (69770987).

Almost surely, 22755874304 is an apocalyptic number.

2755874304 is a gapful number since it is divisible by the number (24) 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 2755874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186259220).

2755874304 is an abundant number, since it is smaller than the sum of its proper divisors (5616644136).

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

2755874304 is a wasteful number, since it uses less digits than its factorization.

2755874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31520 (or 31501 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 2755874304 is about 52496.4218209203. The cubic root of 2755874304 is about 1402.0165334846.

The spelling of 2755874304 in words is "two billion, seven hundred fifty-five million, eight hundred seventy-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 31477 43776 62954 87552 94431 125908 188862 251816 283293 377724 503632 566586 598063 755448 1007264 1133172 1196126 1510896 1794189 2014528 2266344 2392252 3021792 3588378 4029056 4532688 4784504 5382567 6043584 7176756 8058112 9065376 9569008 10765134 12087168 14353512 16116224 18130752 19138016 21530268 24174336 28707024 36261504 38276032 43060536 48348672 57414048 72523008 76552064 86121072 114828096 145046016 153104128 172242144 229656192 306208256 344484288 459312384 688968576 918624768 1377937152 2755874304