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1449802464 = 253119411459
BaseRepresentation
bin101011001101010…
…0011101011100000
310202001001121002120
41112122203223200
510432122134324
6355510144240
750633055225
oct12632435340
93661047076
101449802464
11684415060
12345652080
131a1497ca6
14da79794c
1587431179
hex566a3ae0

1449802464 has 96 divisors (see below), whose sum is σ = 4158967680. Its totient is φ = 438566400.

The previous prime is 1449802399. The next prime is 1449802477. The reversal of 1449802464 is 4642089441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992967 + ... + 994425.

It is an arithmetic number, because the mean of its divisors is an integer number (43322580).

Almost surely, 21449802464 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 1449802464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079483840).

1449802464 is an abundant number, since it is smaller than the sum of its proper divisors (2709165216).

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

1449802464 is a wasteful number, since it uses less digits than its factorization.

1449802464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1449802464 is about 38076.2716662228. The cubic root of 1449802464 is about 1131.7997956155.

The spelling of 1449802464 in words is "one billion, four hundred forty-nine million, eight hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 941 1056 1459 1882 2823 2918 3764 4377 5646 5836 7528 8754 10351 11292 11672 15056 16049 17508 20702 22584 23344 30112 31053 32098 35016 41404 45168 46688 48147 62106 64196 70032 82808 90336 96294 124212 128392 140064 165616 192588 248424 256784 331232 385176 496848 513568 770352 993696 1372919 1540704 2745838 4118757 5491676 8237514 10983352 15102109 16475028 21966704 30204218 32950056 43933408 45306327 60408436 65900112 90612654 120816872 131800224 181225308 241633744 362450616 483267488 724901232 1449802464