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2868352249 = 7410932
BaseRepresentation
bin1010101011110111…
…1001010011111001
321101220022101120111
42222331321103321
521333244232444
61152342424321
7131036410000
oct25275712371
97356271514
102868352249
111242123554
126807320a1
1336933ca69
141d2d37c37
1511bc3c234
hexaaf794f9

2868352249 has 15 divisors (see below), whose sum is σ = 3349276143. Its totient is φ = 2456338248.

The previous prime is 2868352229. The next prime is 2868352259. The reversal of 2868352249 is 9422538682.

The square root of 2868352249 is 53557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2826517225 + 41835024 = 53165^2 + 6468^2 .

It is not a de Polignac number, because 2868352249 - 29 = 2868351737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2868352219) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2623747 + ... + 2624839.

Almost surely, 22868352249 is an apocalyptic number.

2868352249 is the 53557-th square number.

2868352249 is the 26779-th centered octagonal number.

It is an amenable number.

2868352249 is a deficient number, since it is larger than the sum of its proper divisors (480923894).

2868352249 is an frugal number, since it uses more digits than its factorization.

2868352249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 1100 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The cubic root of 2868352249 is about 1420.8366835691.

Multiplying 2868352249 by its sum of digits (49), we get a square (140549260201 = 3748992).

2868352249 divided by its sum of digits (49) gives a square (58537801 = 76512).

The spelling of 2868352249 in words is "two billion, eight hundred sixty-eight million, three hundred fifty-two thousand, two hundred forty-nine".

Divisors: 1 7 49 343 1093 2401 7651 53557 374899 1194649 2624293 8362543 58537801 409764607 2868352249