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1452643408 = 2429101139223
BaseRepresentation
bin101011010010101…
…1001010001010000
310202020101221010201
41112211121101100
510433334042113
6400051104544
750666156656
oct12645312120
93666357121
101452643408
11685a85547
123465a2154
131a1c51118
14dacd6dd6
15877e2cdd
hex56959450

1452643408 has 80 divisors (see below), whose sum is σ = 2974809600. Its totient is φ = 686246400.

The previous prime is 1452643373. The next prime is 1452643427. The reversal of 1452643408 is 8043462541.

It is a super-2 number, since 2×14526434082 = 4220345741611708928, which contains 22 as substring.

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, 6513985 + ... + 6514207.

It is an arithmetic number, because the mean of its divisors is an integer number (37185120).

Almost surely, 21452643408 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 1452643408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487404800).

1452643408 is an abundant number, since it is smaller than the sum of its proper divisors (1522166192).

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

1452643408 is a wasteful number, since it uses less digits than its factorization.

1452643408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 1452643408 is about 38113.5593719611. The cubic root of 1452643408 is about 1132.5385817562.

The spelling of 1452643408 in words is "one billion, four hundred fifty-two million, six hundred forty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 58 101 116 139 202 223 232 278 404 446 464 556 808 892 1112 1616 1784 2224 2929 3568 4031 5858 6467 8062 11716 12934 14039 16124 22523 23432 25868 28078 30997 32248 45046 46864 51736 56156 61994 64496 90092 103472 112312 123988 180184 224624 247976 360368 407131 495952 653167 814262 898913 1306334 1628524 1797826 2612668 3130697 3257048 3595652 5225336 6261394 6514096 7191304 10450672 12522788 14382608 25045576 50091152 90790213 181580426 363160852 726321704 1452643408