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452372480 = 211576311
BaseRepresentation
bin11010111101101…
…010100000000000
31011112012220101022
4122331222200000
51411301404410
6112515525012
714132050130
oct3275524000
91145186338
10452372480
1121239715a
121075b9768
137294a831
1444118ac0
1529aab455
hex1af6a800

452372480 has 96 divisors (see below), whose sum is σ = 1240686720. Its totient is φ = 155074560.

The previous prime is 452372467. The next prime is 452372489. The reversal of 452372480 is 84273254.

It is a super-2 number, since 2×4523724802 = 409281721322700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 452372480.

It is not an unprimeable number, because it can be changed into a prime (452372489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68525 + ... + 74835.

It is an arithmetic number, because the mean of its divisors is an integer number (12923820).

Almost surely, 2452372480 is an apocalyptic number.

452372480 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 452372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620343360).

452372480 is an abundant number, since it is smaller than the sum of its proper divisors (788314240).

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

452372480 is an equidigital number, since it uses as much as digits as its factorization.

452372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 452372480 is about 21269.0498142254. The cubic root of 452372480 is about 767.6537791294.

The spelling of 452372480 in words is "four hundred fifty-two million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 6311 7168 8960 10240 12622 14336 17920 25244 31555 35840 44177 50488 63110 71680 88354 100976 126220 176708 201952 220885 252440 353416 403904 441770 504880 706832 807808 883540 1009760 1413664 1615616 1767080 2019520 2827328 3231232 3534160 4039040 5654656 6462464 7068320 8078080 11309312 12924928 14136640 16156160 22618624 28273280 32312320 45237248 56546560 64624640 90474496 113093120 226186240 452372480