Search a number
-
+
450549450 = 232521377017
BaseRepresentation
bin11010110110101…
…101011011001010
31011101210021122200
4122312231123022
51410320040300
6112412501030
714110415151
oct3266553312
91141707580
10450549450
1121136151a
12106a7a776
137245cb10
1443ba2598
152984b200
hex1adad6ca

450549450 has 72 divisors (see below), whose sum is σ = 1303606668. Its totient is φ = 110903040.

The previous prime is 450549431. The next prime is 450549469. The reversal of 450549450 is 54945054.

It is an interprime number because it is at equal distance from previous prime (450549431) and next prime (450549469).

It can be written as a sum of positive squares in 6 ways, for example, as 203148009 + 247401441 = 14253^2 + 15729^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

450549450 is a modest number, since divided by 549450 gives 450 as remainder.

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 32659 + ... + 44358.

Almost surely, 2450549450 is an apocalyptic number.

450549450 is an abundant number, since it is smaller than the sum of its proper divisors (853057218).

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

450549450 is a wasteful number, since it uses less digits than its factorization.

450549450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77048 (or 77040 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 450549450 is about 21226.1501455163. The cubic root of 450549450 is about 766.6211934802.

The spelling of 450549450 in words is "four hundred fifty million, five hundred forty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 77017 154034 231051 385085 462102 693153 770170 1001221 1155255 1386306 1925425 2002442 2310510 3003663 3465765 3850850 5006105 5776275 6007326 6931530 9010989 10012210 11552550 15018315 17328825 18021978 25030525 30036630 34657650 45054945 50061050 75091575 90109890 150183150 225274725 450549450