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450074300 = 225213461751
BaseRepresentation
bin11010110100111…
…001011010111100
31011100220010212112
4122310321122330
51410204334200
6112354353152
714103365654
oct3264713274
91140803775
10450074300
11211067535
1210688b7b8
1372324770
1443abb364
15297a5535
hex1ad396bc

450074300 has 72 divisors (see below), whose sum is σ = 1055474112. Its totient is φ = 165600000.

The previous prime is 450074293. The next prime is 450074321. The reversal of 450074300 is 3470054.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 598925 + ... + 599675.

Almost surely, 2450074300 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 450074300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527737056).

450074300 is an abundant number, since it is smaller than the sum of its proper divisors (605399812).

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

450074300 is a wasteful number, since it uses less digits than its factorization.

450074300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 450074300 is about 21214.9546311087. The cubic root of 450074300 is about 766.3516054732.

The spelling of 450074300 in words is "four hundred fifty million, seventy-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 461 650 751 922 1300 1502 1844 2305 3004 3755 4610 5993 7510 9220 9763 11525 11986 15020 18775 19526 23050 23972 29965 37550 39052 46100 48815 59930 75100 97630 119860 149825 195260 244075 299650 346211 488150 599300 692422 976300 1384844 1731055 3462110 4500743 6924220 8655275 9001486 17310550 18002972 22503715 34621100 45007430 90014860 112518575 225037150 450074300