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1429027479 = 3211107313431
BaseRepresentation
bin101010100101101…
…0011101010010111
310200120222010011200
41111023103222113
510411312334404
6353445003543
750261350605
oct12513235227
93616863150
101429027479
11673715550
1233a6b35b3
1319a0a2bb9
14d7b0a875
15856ca839
hex552d3a97

1429027479 has 48 divisors (see below), whose sum is σ = 2285397504. Its totient is φ = 853257600.

The previous prime is 1429027477. The next prime is 1429027543. The reversal of 1429027479 is 9747209241.

It is a happy number.

It is not a de Polignac number, because 1429027479 - 21 = 1429027477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429027477) 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 47 ways as a sum of consecutive naturals, for example, 3315394 + ... + 3315824.

It is an arithmetic number, because the mean of its divisors is an integer number (47612448).

Almost surely, 21429027479 is an apocalyptic number.

1429027479 is a deficient number, since it is larger than the sum of its proper divisors (856370025).

1429027479 is a wasteful number, since it uses less digits than its factorization.

With its successor (1429027480) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (865).

With its successor (1429027480) it forms an eRAP, since the sums of their prime factors are consecutive (868 and 869).

1429027479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1429027479 is about 37802.4797996110. The cubic root of 1429027479 is about 1126.3677137195.

The spelling of 1429027479 in words is "one billion, four hundred twenty-nine million, twenty-seven thousand, four hundred seventy-nine".

Divisors: 1 3 9 11 33 99 107 313 321 431 939 963 1177 1293 2817 3443 3531 3879 4741 10329 10593 14223 30987 33491 42669 46117 100473 134903 138351 301419 368401 404709 415053 507287 1105203 1214127 1483933 1521861 3315609 4451799 4565583 13355397 14434621 43303863 129911589 158780831 476342493 1429027479