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452542420 = 225112414561
BaseRepresentation
bin11010111110010…
…011111111010100
31011112112112111101
4122332103333110
51411322324140
6112523315444
714133355441
oct3276237724
91145475441
10452542420
112124a2900
1210767bb84
13729a9ca5
14441609c8
1529ae199a
hex1af93fd4

452542420 has 72 divisors (see below), whose sum is σ = 1070299944. Its totient is φ = 160512000.

The previous prime is 452542417. The next prime is 452542429. The reversal of 452542420 is 24245254.

452542420 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 894916 + 451647504 = 946^2 + 21252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452542429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96940 + ... + 101500.

It is an arithmetic number, because the mean of its divisors is an integer number (14865277).

Almost surely, 2452542420 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 452542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535149972).

452542420 is an abundant number, since it is smaller than the sum of its proper divisors (617757524).

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

452542420 is a wasteful number, since it uses less digits than its factorization.

452542420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 452542420 is about 21273.0444459649. The cubic root of 452542420 is about 767.7498936932.

Adding to 452542420 its reverse (24245254), we get a palindrome (476787674).

It can be divided in two parts, 45254 and 2420, that added together give a palindrome (47674).

The spelling of 452542420 in words is "four hundred fifty-two million, five hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 164 205 220 242 410 451 484 605 820 902 1210 1804 2255 2420 4510 4561 4961 9020 9122 9922 18244 19844 22805 24805 45610 49610 50171 91220 99220 100342 187001 200684 250855 374002 501710 551881 748004 935005 1003420 1103762 1870010 2057011 2207524 2759405 3740020 4114022 5518810 8228044 10285055 11037620 20570110 22627121 41140220 45254242 90508484 113135605 226271210 452542420