Search a number
-
+
406242522 = 23274097883
BaseRepresentation
bin11000001101101…
…100010011011010
31001022102020222100
4120031230103122
51312444230042
6104151104230
713032001350
oct3015542332
91038366870
10406242522
1119934a024
12b4072076
1366218aba
143bd4b7d0
15259e824c
hex1836c4da

406242522 has 48 divisors (see below), whose sum is σ = 1008521280. Its totient is φ = 115770816.

The previous prime is 406242521. The next prime is 406242541. The reversal of 406242522 is 225242604.

It is a happy number.

406242522 is a `hidden beast` number, since 40 + 62 + 42 + 522 = 666.

It is not an unprimeable number, because it can be changed into a prime (406242521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47593 + ... + 55475.

It is an arithmetic number, because the mean of its divisors is an integer number (21010860).

Almost surely, 2406242522 is an apocalyptic number.

406242522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

406242522 is an abundant number, since it is smaller than the sum of its proper divisors (602278758).

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

406242522 is a wasteful number, since it uses less digits than its factorization.

406242522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 406242522 is about 20155.4588635436. The cubic root of 406242522 is about 740.6194727569.

The spelling of 406242522 in words is "four hundred six million, two hundred forty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 409 818 1227 2454 2863 3681 5726 7362 7883 8589 15766 17178 23649 25767 47298 51534 55181 70947 110362 141894 165543 331086 496629 993258 3224147 6448294 9672441 19344882 22569029 29017323 45138058 58034646 67707087 135414174 203121261 406242522