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2555267072 = 21111172
BaseRepresentation
bin1001100001001110…
…0100100000000000
320121002012000110012
42120103210200000
520213122021242
61101320124052
7120215261141
oct23023444000
96532160405
102555267072
1110a1421a76
125b3906628
13319510067
141a3519ac8
15ee4e6282
hex984e4800

2555267072 has 36 divisors (see below), whose sum is σ = 5113864665. Its totient is φ = 1276489728.

The previous prime is 2555267063. The next prime is 2555267083. The reversal of 2555267072 is 2707625552.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1803191296 + 752075776 = 42464^2 + 27424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=35744.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2287058 + ... + 2288174.

Almost surely, 22555267072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555267072

2555267072 is an abundant number, since it is smaller than the sum of its proper divisors (2558597593).

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

2555267072 is an frugal number, since it uses more digits than its factorization.

2555267072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The square root of 2555267072 is about 50549.6495734639. The cubic root of 2555267072 is about 1367.1371963277.

The spelling of 2555267072 in words is "two billion, five hundred fifty-five million, two hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1117 2048 2234 4468 8936 17872 35744 71488 142976 285952 571904 1143808 1247689 2287616 2495378 4990756 9981512 19963024 39926048 79852096 159704192 319408384 638816768 1277633536 2555267072