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287093945 = 5312149401
BaseRepresentation
bin10001000111001…
…011010010111001
3202000012212212002
4101013023102321
51041444001240
644253230345
710054154405
oct2107132271
9660185762
10287093945
11138069a26
12801923b5
134762c598
142a1b4105
151a30ed15
hex111cb4b9

287093945 has 24 divisors (see below), whose sum is σ = 359267400. Its totient is φ = 220224000.

The previous prime is 287093927. The next prime is 287093987. The reversal of 287093945 is 549390782.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53523856 + 233570089 = 7316^2 + 15283^2 .

It is not a de Polignac number, because 287093945 - 222 = 282899641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 287093945.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715745 + ... + 716145.

It is an arithmetic number, because the mean of its divisors is an integer number (14969475).

Almost surely, 2287093945 is an apocalyptic number.

It is an amenable number.

287093945 is a deficient number, since it is larger than the sum of its proper divisors (72173455).

287093945 is a wasteful number, since it uses less digits than its factorization.

287093945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 287093945 is about 16943.8468182405. The cubic root of 287093945 is about 659.6921927100.

The spelling of 287093945 in words is "two hundred eighty-seven million, ninety-three thousand, nine hundred forty-five".

Divisors: 1 5 31 149 155 401 745 961 2005 4619 4805 12431 23095 59749 62155 143189 298745 385361 715945 1852219 1926805 9261095 57418789 287093945