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514427761 = 3726132
BaseRepresentation
bin11110101010011…
…000101101110001
31022211222122020001
4132222120231301
52023143142021
6123013550001
715514364251
oct3652305561
91284878201
10514427761
11244421211
12124345301
1382767133
144c46d961
1530268091
hex1ea98b71

514427761 has 9 divisors (see below), whose sum is σ = 529570881. Its totient is φ = 499707792.

The previous prime is 514427713. The next prime is 514427777. The reversal of 514427761 is 167724415.

The square root of 514427761 is 22681.

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 37442161 + 476985600 = 6119^2 + 21840^2 .

It is not a de Polignac number, because 514427761 - 217 = 514296689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 514427761.

It is not an unprimeable number, because it can be changed into a prime (514427461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 838891 + ... + 839503.

It is an arithmetic number, because the mean of its divisors is an integer number (58841209).

Almost surely, 2514427761 is an apocalyptic number.

514427761 is the 22681-st square number.

514427761 is the 11341-st centered octagonal number.

It is an amenable number.

514427761 is a deficient number, since it is larger than the sum of its proper divisors (15143120).

514427761 is an frugal number, since it uses more digits than its factorization.

514427761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 650 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The cubic root of 514427761 is about 801.2624655322.

It can be divided in two parts, 514 and 427761, that added together give a triangular number (428275 = T925).

The spelling of 514427761 in words is "five hundred fourteen million, four hundred twenty-seven thousand, seven hundred sixty-one".

Divisors: 1 37 613 1369 22681 375769 839197 13903453 514427761