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1465684441 = 13237415717
BaseRepresentation
bin101011101011100…
…1001000111011001
310210010221111001221
41113113021013121
511000203400231
6401234412041
751215053324
oct12727110731
93703844057
101465684441
11692382461
1234aa31021
131a4868c00
14dc92d7bb
1588a1bd11
hex575c91d9

1465684441 has 24 divisors (see below), whose sum is σ = 1670044824. Its totient is φ = 1284042240.

The previous prime is 1465684439. The next prime is 1465684463. The reversal of 1465684441 is 1444865641.

It can be written as a sum of positive squares in 12 ways, for example, as 748569600 + 717114841 = 27360^2 + 26779^2 .

It is not a de Polignac number, because 1465684441 - 21 = 1465684439 is a prime.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1465684411) 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 23 ways as a sum of consecutive naturals, for example, 253515 + ... + 259231.

It is an arithmetic number, because the mean of its divisors is an integer number (69585201).

Almost surely, 21465684441 is an apocalyptic number.

It is an amenable number.

1465684441 is a deficient number, since it is larger than the sum of its proper divisors (204360383).

1465684441 is a wasteful number, since it uses less digits than its factorization.

1465684441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821 (or 5808 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 1465684441 is about 38284.2583968921. The cubic root of 1465684441 is about 1135.9175928886.

The spelling of 1465684441 in words is "one billion, four hundred sixty-five million, six hundred eighty-four thousand, four hundred forty-one".

Divisors: 1 13 37 41 169 481 533 1517 5717 6253 6929 19721 74321 211529 234397 256373 966173 2749877 3047161 8672689 35748401 39613093 112744957 1465684441