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450708138 = 2352361661
BaseRepresentation
bin11010110111010…
…100001010101010
31011102002100100000
4122313110022222
51410340130023
6112420123430
714111645616
oct3267241252
91142070300
10450708138
1121145a771
12106b36576
13724b710a
1443c04346
152987d243
hex1add42aa

450708138 has 96 divisors (see below), whose sum is σ = 1075681152. Its totient is φ = 141134400.

The previous prime is 450708119. The next prime is 450708143. The reversal of 450708138 is 831807054.

450708138 is a `hidden beast` number, since 450 + 70 + 8 + 138 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681528 + ... + 682188.

It is an arithmetic number, because the mean of its divisors is an integer number (11205012).

Almost surely, 2450708138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450708138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537840576).

450708138 is an abundant number, since it is smaller than the sum of its proper divisors (624973014).

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

450708138 is a wasteful number, since it uses less digits than its factorization.

450708138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 450708138 is about 21229.8878470895. The cubic root of 450708138 is about 766.7111867867.

The spelling of 450708138 in words is "four hundred fifty million, seven hundred eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 81 122 138 162 183 207 243 366 414 486 549 621 661 1098 1242 1322 1403 1647 1863 1983 2806 3294 3726 3966 4209 4941 5589 5949 8418 9882 11178 11898 12627 14823 15203 17847 25254 29646 30406 35694 37881 40321 45609 53541 75762 80642 91218 107082 113643 120963 136827 160623 227286 241926 273654 321246 340929 362889 410481 681858 725778 820962 927383 1088667 1231443 1854766 2177334 2462886 2782149 3266001 3694329 5564298 6532002 7388658 8346447 9798003 16692894 19596006 25039341 50078682 75118023 150236046 225354069 450708138