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450406494 = 23423911633
BaseRepresentation
bin11010110110001…
…010100001011110
31011101112000120000
4122312022201132
51410301001434
6112405435130
714106251316
oct3266124136
91141460500
10450406494
1121127407a
12106a0baa6
137240ca25
1443b66446
152981db99
hex1ad8a85e

450406494 has 40 divisors (see below), whose sum is σ = 1013554080. Its totient is φ = 149494464.

The previous prime is 450406469. The next prime is 450406507. The reversal of 450406494 is 494604054.

450406494 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 0 + 649 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32902 + ... + 44534.

It is an arithmetic number, because the mean of its divisors is an integer number (25338852).

Almost surely, 2450406494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450406494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506777040).

450406494 is an abundant number, since it is smaller than the sum of its proper divisors (563147586).

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

450406494 is a wasteful number, since it uses less digits than its factorization.

450406494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 450406494 is about 21222.7824283245. The cubic root of 450406494 is about 766.5401038296.

The spelling of 450406494 in words is "four hundred fifty million, four hundred six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 478 717 1434 2151 4302 6453 11633 12906 19359 23266 34899 38718 69798 104697 209394 314091 628182 942273 1884546 2780287 5560574 8340861 16681722 25022583 50045166 75067749 150135498 225203247 450406494