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1429585508 = 2213296115541
BaseRepresentation
bin101010100110101…
…1011111001100100
310200122000110122102
41111031123321210
510411433214013
6353504551232
750266163531
oct12515337144
93618013572
101429585508
11673a6682a
1233a922518
1319a239bb0
14d7c13d88
158578ad58
hex5535be64

1429585508 has 48 divisors (see below), whose sum is σ = 2832995760. Its totient is φ = 626572800.

The previous prime is 1429585489. The next prime is 1429585523. The reversal of 1429585508 is 8055859241.

It can be written as a sum of positive squares in 8 ways, for example, as 154952704 + 1274632804 = 12448^2 + 35702^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84218 + ... + 99758.

It is an arithmetic number, because the mean of its divisors is an integer number (59020745).

Almost surely, 21429585508 is an apocalyptic number.

It is an amenable number.

1429585508 is a deficient number, since it is larger than the sum of its proper divisors (1403410252).

1429585508 is a wasteful number, since it uses less digits than its factorization.

1429585508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15648 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 47.

The square root of 1429585508 is about 37809.8599309757. The cubic root of 1429585508 is about 1126.5143085334.

The spelling of 1429585508 in words is "one billion, four hundred twenty-nine million, five hundred eighty-five thousand, five hundred eight".

Divisors: 1 2 4 13 26 29 52 58 61 116 122 244 377 754 793 1508 1586 1769 3172 3538 7076 15541 22997 31082 45994 62164 91988 202033 404066 450689 808132 901378 948001 1802756 1896002 3792004 5858957 11717914 12324013 23435828 24648026 27492029 49296052 54984058 109968116 357396377 714792754 1429585508