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285072957 = 32137333377
BaseRepresentation
bin10000111111011…
…101111000111101
3201212102012120200
4100333131320331
51040434313312
644142034113
710031036331
oct2077357075
9655365520
10285072957
11136a09594
127b578939
13470a2730
1429c097c1
151a0610dc
hex10fdde3d

285072957 has 24 divisors (see below), whose sum is σ = 449534904. Its totient is φ = 173021184.

The previous prime is 285072923. The next prime is 285072961. The reversal of 285072957 is 759270582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33977241 + 251095716 = 5829^2 + 15846^2 .

It is not a de Polignac number, because 285072957 - 27 = 285072829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285072967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8148 + ... + 25229.

It is an arithmetic number, because the mean of its divisors is an integer number (18730621).

Almost surely, 2285072957 is an apocalyptic number.

It is an amenable number.

285072957 is a deficient number, since it is larger than the sum of its proper divisors (164461947).

285072957 is a wasteful number, since it uses less digits than its factorization.

285072957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33469 (or 33466 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 285072957 is about 16884.1036777201. The cubic root of 285072957 is about 658.1405859627.

The spelling of 285072957 in words is "two hundred eighty-five million, seventy-two thousand, nine hundred fifty-seven".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 33377 100131 300393 433901 1301703 2436521 3905109 7309563 21928689 31674773 95024319 285072957