Search a number
-
+
451889712 = 24331139257
BaseRepresentation
bin11010111011110…
…100101000110000
31011111022101011000
4122323310220300
51411140432322
6112501322000
714124666501
oct3273645060
91144271130
10451889712
1121209747a
12107406300
137280bb81
1444030ba8
1529a133ac
hex1aef4a30

451889712 has 80 divisors (see below), whose sum is σ = 1308710880. Its totient is φ = 149280768.

The previous prime is 451889663. The next prime is 451889719. The reversal of 451889712 is 217988154.

It is a super-2 number, since 2×4518897122 = 408408623622885888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (451889719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44188 + ... + 53444.

It is an arithmetic number, because the mean of its divisors is an integer number (16358886).

Almost surely, 2451889712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451889712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654355440).

451889712 is an abundant number, since it is smaller than the sum of its proper divisors (856821168).

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

451889712 is a wasteful number, since it uses less digits than its factorization.

451889712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9375 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 451889712 is about 21257.6977116526. The cubic root of 451889712 is about 767.3806041040.

The spelling of 451889712 in words is "four hundred fifty-one million, eight hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 113 144 216 226 339 432 452 678 904 1017 1356 1808 2034 2712 3051 4068 5424 6102 8136 9257 12204 16272 18514 24408 27771 37028 48816 55542 74056 83313 111084 148112 166626 222168 249939 333252 444336 499878 666504 999756 1046041 1333008 1999512 2092082 3138123 3999024 4184164 6276246 8368328 9414369 12552492 16736656 18828738 25104984 28243107 37657476 50209968 56486214 75314952 112972428 150629904 225944856 451889712