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1474461472 = 251121971933
BaseRepresentation
bin101011111100010…
…0111111100100000
310210202110101220011
41113320213330200
511004430231342
6402150454304
751352500331
oct12770477440
93722411804
101474461472
11697327800
12351964394
131a661cc13
14ddb76288
15896a2717
hex57e27f20

1474461472 has 72 divisors (see below), whose sum is σ = 3208587228. Its totient is φ = 666462720.

The previous prime is 1474461467. The next prime is 1474461479. The reversal of 1474461472 is 2741644741.

It can be written as a sum of positive squares in 2 ways, for example, as 1235944336 + 238517136 = 35156^2 + 15444^2 .

It is not an unprimeable number, because it can be changed into a prime (1474461479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 761818 + ... + 763750.

Almost surely, 21474461472 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 1474461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604293614).

1474461472 is an abundant number, since it is smaller than the sum of its proper divisors (1734125756).

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

1474461472 is a wasteful number, since it uses less digits than its factorization.

1474461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2143 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 1474461472 is about 38398.7170619020. The cubic root of 1474461472 is about 1138.1805057738.

The spelling of 1474461472 in words is "one billion, four hundred seventy-four million, four hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 197 242 352 394 484 788 968 1576 1933 1936 2167 3152 3866 3872 4334 6304 7732 8668 15464 17336 21263 23837 30928 34672 42526 47674 61856 69344 85052 95348 170104 190696 233893 340208 380801 381392 467786 680416 761602 762784 935572 1523204 1871144 3046408 3742288 4188811 6092816 7484576 8377622 12185632 16755244 33510488 46076921 67020976 92153842 134041952 184307684 368615368 737230736 1474461472