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451143450 = 232521723469
BaseRepresentation
bin11010111000111…
…110011100011010
31011102220110110200
4122320332130122
51410443042300
6112433323030
714115441012
oct3270763432
91142813420
10451143450
1121172782a
12107106476
137260a2b4
1443cb8c42
1529917200
hex1ae3e71a

451143450 has 108 divisors (see below), whose sum is σ = 1287935610. Its totient is φ = 113195520.

The previous prime is 451143449. The next prime is 451143457. The reversal of 451143450 is 54341154.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 25010001 + 426133449 = 5001^2 + 20643^2 .

It is not an unprimeable number, because it can be changed into a prime (451143457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 128316 + ... + 131784.

Almost surely, 2451143450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451143450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643967805).

451143450 is an abundant number, since it is smaller than the sum of its proper divisors (836792160).

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

451143450 is a wasteful number, since it uses less digits than its factorization.

451143450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 451143450 is about 21240.1377114180. The cubic root of 451143450 is about 766.9579475003.

It can be divided in two parts, 4511 and 43450, that added together give a square (47961 = 2192).

The spelling of 451143450 in words is "four hundred fifty-one million, one hundred forty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 289 306 425 450 510 578 765 850 867 1275 1445 1530 1734 2550 2601 2890 3469 3825 4335 5202 6938 7225 7650 8670 10407 13005 14450 17345 20814 21675 26010 31221 34690 43350 52035 58973 62442 65025 86725 104070 117946 130050 156105 173450 176919 260175 294865 312210 353838 520350 530757 589730 780525 884595 1002541 1061514 1474325 1561050 1769190 2005082 2653785 2948650 3007623 4422975 5012705 5307570 6015246 8845950 9022869 10025410 13268925 15038115 18045738 25063525 26537850 30076230 45114345 50127050 75190575 90228690 150381150 225571725 451143450