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516736945 = 5973173361
BaseRepresentation
bin11110110011001…
…100011110110001
31100000022221211101
4132303030132301
52024241040240
6123135244401
715543122464
oct3663143661
91300287741
10516736945
1124575912a
12125079701
138309520a
144c8b12db
153057239a
hex1eccc7b1

516736945 has 16 divisors (see below), whose sum is σ = 628640208. Its totient is φ = 407715840.

The previous prime is 516736943. The next prime is 516736999. The reversal of 516736945 is 549637615.

It can be written as a sum of positive squares in 8 ways, for example, as 28901376 + 487835569 = 5376^2 + 22087^2 .

It is not a de Polignac number, because 516736945 - 21 = 516736943 is a prime.

It is a Duffinian number.

Its product of digits (680400) is a multiple of the sum of its prime divisors (3780).

It is a junction number, because it is equal to n+sod(n) for n = 516736895 and 516736904.

It is not an unprimeable number, because it can be changed into a prime (516736943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152065 + ... + 155425.

It is an arithmetic number, because the mean of its divisors is an integer number (39290013).

Almost surely, 2516736945 is an apocalyptic number.

It is an amenable number.

516736945 is a deficient number, since it is larger than the sum of its proper divisors (111903263).

516736945 is a wasteful number, since it uses less digits than its factorization.

516736945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780.

The product of its digits is 680400, while the sum is 46.

The square root of 516736945 is about 22731.8486929682. The cubic root of 516736945 is about 802.4595891311.

The spelling of 516736945 in words is "five hundred sixteen million, seven hundred thirty-six thousand, nine hundred forty-five".

Divisors: 1 5 97 317 485 1585 3361 16805 30749 153745 326017 1065437 1630085 5327185 103347389 516736945