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452020000 = 255497233
BaseRepresentation
bin11010111100010…
…100011100100000
31011111112222212111
4122330110130200
51411204120000
6112504205104
714126051365
oct3274243440
91144488774
10452020000
11212176353
12107469794
1372856273
144406646c
1529a3bcba
hex1af14720

452020000 has 120 divisors (see below), whose sum is σ = 1128323196. Its totient is φ = 178176000.

The previous prime is 452019979. The next prime is 452020007. The reversal of 452020000 is 20254.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 92083216 + 359936784 = 9596^2 + 18972^2 .

It is not an unprimeable number, because it can be changed into a prime (452020007) 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, 1939884 + ... + 1940116.

Almost surely, 2452020000 is an apocalyptic number.

452020000 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 452020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564161598).

452020000 is an abundant number, since it is smaller than the sum of its proper divisors (676303196).

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

452020000 is an equidigital number, since it uses as much as digits as its factorization.

452020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 452020000 is about 21260.7619807005. The cubic root of 452020000 is about 767.4543469328.

Adding to 452020000 its reverse (20254), we get a palindrome (452040254).

The spelling of 452020000 in words is "four hundred fifty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 233 250 388 400 466 485 500 625 776 800 932 970 1000 1165 1250 1552 1864 1940 2000 2330 2425 2500 3104 3728 3880 4000 4660 4850 5000 5825 7456 7760 9320 9700 10000 11650 12125 15520 18640 19400 20000 22601 23300 24250 29125 37280 38800 45202 46600 48500 58250 60625 77600 90404 93200 97000 113005 116500 121250 145625 180808 186400 194000 226010 233000 242500 291250 361616 388000 452020 466000 485000 565025 582500 723232 904040 932000 970000 1130050 1165000 1808080 1940000 2260100 2330000 2825125 3616160 4520200 4660000 5650250 9040400 11300500 14125625 18080800 22601000 28251250 45202000 56502500 90404000 113005000 226010000 452020000