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452242000 = 2453732303
BaseRepresentation
bin11010111101001…
…010101001010000
31011111222021101201
4122331022221100
51411233221000
6112513040544
714130664540
oct3275125120
91144867351
10452242000
11212308121
12107556154
1372903322
14440c3320
1529a8296a
hex1af4aa50

452242000 has 80 divisors (see below), whose sum is σ = 1249777152. Its totient is φ = 155049600.

The previous prime is 452241961. The next prime is 452242003. The reversal of 452242000 is 242254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2152 + ... + 30151.

Almost surely, 2452242000 is an apocalyptic number.

452242000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624888576).

452242000 is an abundant number, since it is smaller than the sum of its proper divisors (797535152).

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

452242000 is a wasteful number, since it uses less digits than its factorization.

452242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32333 (or 32317 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 452242000 is about 21265.9822251407. The cubic root of 452242000 is about 767.5799659914.

Adding to 452242000 its reverse (242254), we get a palindrome (452484254).

The spelling of 452242000 in words is "four hundred fifty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 32303 64606 129212 161515 226121 258424 323030 452242 516848 646060 807575 904484 1130605 1292120 1615150 1808968 2261210 2584240 3230300 3617936 4037875 4522420 5653025 6460600 8075750 9044840 11306050 12921200 16151500 18089680 22612100 28265125 32303000 45224200 56530250 64606000 90448400 113060500 226121000 452242000