Search a number
-
+
406026912 = 253172329373
BaseRepresentation
bin11000001100110…
…111101010100000
31001022000022012210
4120030313222200
51312420330122
6104142322120
713030112634
oct3014675240
91038008183
10406026912
11199212035
12b3b89340
1366171915
143bcd2dc4
15259a440c
hex18337aa0

406026912 has 192 divisors, whose sum is σ = 1221454080. Its totient is φ = 117325824.

The previous prime is 406026893. The next prime is 406026913. The reversal of 406026912 is 219620604.

It is a self number, because there is not a number n which added to its sum of digits gives 406026912.

It is not an unprimeable number, because it can be changed into a prime (406026913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088358 + ... + 1088730.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2406026912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406026912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610727040).

406026912 is an abundant number, since it is smaller than the sum of its proper divisors (815427168).

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

406026912 is a wasteful number, since it uses less digits than its factorization.

406026912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 406026912 is about 20150.1094786108. The cubic root of 406026912 is about 740.4884235973.

The spelling of 406026912 in words is "four hundred six million, twenty-six thousand, nine hundred twelve".