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2345755489 = 72112172372
BaseRepresentation
bin1000101111010001…
…0110001101100001
320001110221201120221
42023310112031201
514301003133424
61024433403041
7112062410200
oct21364261541
96043851527
102345755489
11aa4132900
12555709481
132b4ca55cc
1418377d237
15dae0d9e4
hex8bd16361

2345755489 has 81 divisors (see below), whose sum is σ = 3274605369. Its totient is φ = 1673844480.

The previous prime is 2345755483. The next prime is 2345755499. The reversal of 2345755489 is 9845575432.

The square root of 2345755489 is 48433.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1091179089 + 1254576400 = 33033^2 + 35420^2 .

It is a de Polignac number, because none of the positive numbers 2k-2345755489 is a prime.

Its product of digits (6048000) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2345755483) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63398779 + ... + 63398815.

Almost surely, 22345755489 is an apocalyptic number.

2345755489 is the 48433-rd square number.

2345755489 is the 24217-th centered octagonal number.

It is an amenable number.

2345755489 is a deficient number, since it is larger than the sum of its proper divisors (928849880).

2345755489 is a wasteful number, since it uses less digits than its factorization.

2345755489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 52.

The cubic root of 2345755489 is about 1328.7019745898.

The spelling of 2345755489 in words is "two billion, three hundred forty-five million, seven hundred fifty-five thousand, four hundred eighty-nine".

Divisors: 1 7 11 17 37 49 77 119 121 187 259 289 407 539 629 833 847 1309 1369 1813 2023 2057 2849 3179 4403 4477 5929 6919 9163 9583 10693 14161 14399 15059 19943 22253 23273 30821 31339 34969 48433 67081 74851 76109 100793 105413 117623 155771 162911 165649 219373 244783 256003 339031 395641 523957 532763 737891 823361 1140377 1159543 1293853 1713481 1792021 2769487 2816033 3729341 4352051 5763527 8116801 9056971 12544147 19386409 19712231 30464357 47872561 63398797 137985617 213250499 335107927 2345755489