Search a number
-
+
514385500 = 22532574003
BaseRepresentation
bin11110101010001…
…110011001011100
31022211220111020211
4132222032121130
52023140314000
6123013022204
715514130116
oct3652163134
91284814224
10514385500
112443a2492
12124324964
1382750b25
144c45c3b6
153025a7ba
hex1ea8e65c

514385500 has 48 divisors (see below), whose sum is σ = 1128070944. Its totient is φ = 204902400.

The previous prime is 514385483. The next prime is 514385503. The reversal of 514385500 is 5583415.

It is a super-2 number, since 2×5143855002 = 529184885220500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514385503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126499 + ... + 130501.

It is an arithmetic number, because the mean of its divisors is an integer number (23501478).

Almost surely, 2514385500 is an apocalyptic number.

514385500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564035472).

514385500 is an abundant number, since it is smaller than the sum of its proper divisors (613685444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514385500 is a wasteful number, since it uses less digits than its factorization.

514385500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 514385500 is about 22680.0683420487. The cubic root of 514385500 is about 801.2405232998.

The spelling of 514385500 in words is "five hundred fourteen million, three hundred eighty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 257 500 514 1028 1285 2570 4003 5140 6425 8006 12850 16012 20015 25700 32125 40030 64250 80060 100075 128500 200150 400300 500375 1000750 1028771 2001500 2057542 4115084 5143855 10287710 20575420 25719275 51438550 102877100 128596375 257192750 514385500