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452141442 = 232193373923
BaseRepresentation
bin11010111100110…
…010000110000010
31011111210011110100
4122330302012002
51411222011232
6112510543230
714130065424
oct3274620602
91144704410
10452141442
11212249615
12107507b16
137289961c
1444098814
1529a62c7c
hex1af32182

452141442 has 48 divisors (see below), whose sum is σ = 1034523360. Its totient is φ = 142321536.

The previous prime is 452141413. The next prime is 452141467. The reversal of 452141442 is 244141254.

452141442 is a `hidden beast` number, since 4 + 5 + 214 + 1 + 442 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 113293 + ... + 117215.

It is an arithmetic number, because the mean of its divisors is an integer number (21552570).

Almost surely, 2452141442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517261680).

452141442 is an abundant number, since it is smaller than the sum of its proper divisors (582381918).

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

452141442 is a wasteful number, since it uses less digits than its factorization.

452141442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4284 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 452141442 is about 21263.6178013056. The cubic root of 452141442 is about 767.5230701791.

Adding to 452141442 its reverse (244141254), we get a palindrome (696282696).

It can be divided in two parts, 45214 and 1442, that added together give a 6-th power (46656 = 66).

The spelling of 452141442 in words is "four hundred fifty-two million, one hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 337 342 674 1011 2022 3033 3923 6066 6403 7846 11769 12806 19209 23538 35307 38418 57627 70614 74537 115254 149074 223611 447222 670833 1322051 1341666 2644102 3966153 7932306 11898459 23796918 25118969 50237938 75356907 150713814 226070721 452141442