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450534656 = 28111331397
BaseRepresentation
bin11010110110101…
…001110100000000
31011101202112100202
4122312221310000
51410314102111
6112412304332
714110324055
oct3266516400
91141675322
10450534656
112113513a0
12106a720a8
1372456170
1443b9b02c
1529846b3b
hex1ada9d00

450534656 has 144 divisors (see below), whose sum is σ = 1093360128. Its totient is φ = 182476800.

The previous prime is 450534647. The next prime is 450534701. The reversal of 450534656 is 656435054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134650 + ... + 1135046.

Almost surely, 2450534656 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 450534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546680064).

450534656 is an abundant number, since it is smaller than the sum of its proper divisors (642825472).

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

450534656 is a wasteful number, since it uses less digits than its factorization.

450534656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 450534656 is about 21225.8016574169. The cubic root of 450534656 is about 766.6128026009.

The spelling of 450534656 in words is "four hundred fifty million, five hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 128 143 176 208 248 256 286 341 352 397 403 416 496 572 682 704 794 806 832 992 1144 1364 1408 1588 1612 1664 1984 2288 2728 2816 3176 3224 3328 3968 4367 4433 4576 5161 5456 6352 6448 7936 8734 8866 9152 10322 10912 12307 12704 12896 17468 17732 18304 20644 21824 24614 25408 25792 34936 35464 36608 41288 43648 49228 50816 51584 56771 69872 70928 82576 87296 98456 101632 103168 113542 135377 139744 141856 159991 165152 196912 227084 270754 279488 283712 319982 330304 393824 454168 541508 558976 567424 639964 660608 787648 908336 1083016 1117952 1134848 1279928 1321216 1575296 1759901 1816672 2166032 2559856 3150592 3519802 3633344 4332064 5119712 7039604 7266688 8664128 10239424 14079208 14533376 17328256 20478848 28158416 34656512 40957696 56316832 112633664 225267328 450534656