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288705053 = 7134389829
BaseRepresentation
bin10001001101010…
…100101000011101
3202010020201212202
4101031110220131
51042402030203
644351541245
710103644460
oct2115245035
9663221782
10288705053
11138a6a41a
128082a825
1347a749c0
142a4b32d7
151a52c388
hex11354a1d

288705053 has 32 divisors (see below), whose sum is σ = 368121600. Its totient is φ = 220340736.

The previous prime is 288705047. The next prime is 288705059. The reversal of 288705053 is 350507882.

It is an interprime number because it is at equal distance from previous prime (288705047) and next prime (288705059).

It is not a de Polignac number, because 288705053 - 26 = 288704989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 288704998 and 288705016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288705059) 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 31 ways as a sum of consecutive naturals, for example, 347843 + ... + 348671.

It is an arithmetic number, because the mean of its divisors is an integer number (11503800).

Almost surely, 2288705053 is an apocalyptic number.

It is an amenable number.

288705053 is a deficient number, since it is larger than the sum of its proper divisors (79416547).

288705053 is a wasteful number, since it uses less digits than its factorization.

288705053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981.

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 288705053 is about 16991.3228737494. The cubic root of 288705053 is about 660.9239073110.

The spelling of 288705053 in words is "two hundred eighty-eight million, seven hundred five thousand, fifty-three".

Divisors: 1 7 13 43 89 91 301 559 623 829 1157 3827 3913 5803 8099 10777 26789 35647 49751 73781 75439 249529 348257 463411 516467 959153 3172583 3243877 6714071 22208081 41243579 288705053