Search a number
-
+
506301414 = 23372280637
BaseRepresentation
bin11110001011011…
…000101111100110
31022021200202222020
4132023120233212
52014103121124
6122123444010
715355330263
oct3613305746
91267622866
10506301414
1123a880823
12121686606
1380b80348
144b35626a
152e6b0379
hex1e2d8be6

506301414 has 16 divisors (see below), whose sum is σ = 1039970928. Its totient is φ = 164205792.

The previous prime is 506301409. The next prime is 506301443. The reversal of 506301414 is 414103605.

It is a super-2 number, since 2×5063014142 = 512682243636798792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1140097 + ... + 1140540.

It is an arithmetic number, because the mean of its divisors is an integer number (64998183).

Almost surely, 2506301414 is an apocalyptic number.

506301414 is an abundant number, since it is smaller than the sum of its proper divisors (533669514).

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

506301414 is a wasteful number, since it uses less digits than its factorization.

506301414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280679.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 506301414 is about 22501.1425043263. The cubic root of 506301414 is about 797.0209064811.

The spelling of 506301414 in words is "five hundred six million, three hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 2280637 4561274 6841911 13683822 84383569 168767138 253150707 506301414