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452990200 = 235213592953
BaseRepresentation
bin11011000000000…
…001010011111000
31011120101021201211
4123000001103320
51411431141300
6112541052504
714140232065
oct3300012370
91146337654
10452990200
11212779273
12107857134
1372b05a50
1444239c6c
1529b7e4ba
hex1b0014f8

452990200 has 96 divisors (see below), whose sum is σ = 1153832400. Its totient is φ = 164367360.

The previous prime is 452990173. The next prime is 452990201. The reversal of 452990200 is 2099254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452990201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151924 + ... + 154876.

Almost surely, 2452990200 is an apocalyptic number.

452990200 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 452990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576916200).

452990200 is an abundant number, since it is smaller than the sum of its proper divisors (700842200).

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

452990200 is a wasteful number, since it uses less digits than its factorization.

452990200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 452990200 is about 21283.5664304646. The cubic root of 452990200 is about 768.0030336613.

The spelling of 452990200 in words is "four hundred fifty-two million, nine hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 130 200 236 260 295 325 472 520 590 650 767 1180 1300 1475 1534 2360 2600 2950 2953 3068 3835 5900 5906 6136 7670 11800 11812 14765 15340 19175 23624 29530 30680 38350 38389 59060 73825 76700 76778 118120 147650 153400 153556 174227 191945 295300 307112 348454 383890 590600 696908 767780 871135 959725 1393816 1535560 1742270 1919450 2264951 3484540 3838900 4355675 4529902 6969080 7677800 8711350 9059804 11324755 17422700 18119608 22649510 34845400 45299020 56623775 90598040 113247550 226495100 452990200