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450644768 = 25723173127
BaseRepresentation
bin11010110111000…
…100101100100000
31011101222010101222
4122313010230200
51410331113033
6112414514212
714111263100
oct3267045440
91141863358
10450644768
112114170a2
12106b05968
1372494312
1443bc9200
1529869598
hex1adc4b20

450644768 has 144 divisors (see below), whose sum is σ = 1088446464. Its totient is φ = 182891520.

The previous prime is 450644741. The next prime is 450644797. The reversal of 450644768 is 867446054.

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 23 ways as a sum of consecutive naturals, for example, 3548321 + ... + 3548447.

It is an arithmetic number, because the mean of its divisors is an integer number (7558656).

Almost surely, 2450644768 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 450644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544223232).

450644768 is an abundant number, since it is smaller than the sum of its proper divisors (637801696).

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

450644768 is a wasteful number, since it uses less digits than its factorization.

450644768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The square root of 450644768 is about 21228.3953232457. The cubic root of 450644768 is about 766.6752516577.

The spelling of 450644768 in words is "four hundred fifty million, six hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 73 98 112 124 127 146 196 217 224 248 254 292 392 434 496 508 511 584 784 868 889 992 1016 1022 1168 1519 1568 1736 1778 2032 2044 2263 2336 3038 3472 3556 3577 3937 4064 4088 4526 6076 6223 6944 7112 7154 7874 8176 9052 9271 12152 12446 14224 14308 15748 15841 16352 18104 18542 24304 24892 27559 28448 28616 31496 31682 36208 37084 48608 49784 55118 57232 62992 63364 64897 72416 74168 99568 110236 110887 114464 125984 126728 129794 148336 192913 199136 220472 221774 253456 259588 287401 296672 385826 440944 443548 454279 506912 519176 574802 771652 881888 887096 908558 1038352 1149604 1543304 1774192 1817116 2011807 2076704 2299208 3086608 3548384 3634232 4023614 4598416 6173216 7268464 8047228 9196832 14082649 14536928 16094456 28165298 32188912 56330596 64377824 112661192 225322384 450644768