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452040000 = 263543767
BaseRepresentation
bin11010111100011…
…001010101000000
31011111121000022020
4122330121111000
51411210240000
6112504441440
714126163606
oct3274312500
91144530266
10452040000
1121218a385
12107479280
13728623b9
144406d876
1529a42ba0
hex1af19540

452040000 has 140 divisors (see below), whose sum is σ = 1494946464. Its totient is φ = 120512000.

The previous prime is 452039981. The next prime is 452040007. The reversal of 452040000 is 40254.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452040007) 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 19 ways as a sum of consecutive naturals, for example, 118117 + ... + 121883.

Almost surely, 2452040000 is an apocalyptic number.

452040000 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 452040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747473232).

452040000 is an abundant number, since it is smaller than the sum of its proper divisors (1042906464).

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

452040000 is an equidigital number, since it uses as much as digits as its factorization.

452040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 452040000 is about 21261.2323255262. The cubic root of 452040000 is about 767.4656656506.

Adding to 452040000 its reverse (40254), we get a palindrome (452080254).

The spelling of 452040000 in words is "four hundred fifty-two million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 3767 4000 4800 5000 6000 7500 7534 8000 10000 11301 12000 15000 15068 18835 20000 22602 24000 30000 30136 37670 40000 45204 56505 60000 60272 75340 90408 94175 113010 120000 120544 150680 180816 188350 226020 241088 282525 301360 361632 376700 452040 470875 565050 602720 723264 753400 904080 941750 1130100 1205440 1412625 1506800 1808160 1883500 2260200 2354375 2825250 3013600 3616320 3767000 4520400 4708750 5650500 6027200 7063125 7534000 9040800 9417500 11301000 14126250 15068000 18081600 18835000 22602000 28252500 30136000 37670000 45204000 56505000 75340000 90408000 113010000 150680000 226020000 452040000