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1429463385 = 325719238841
BaseRepresentation
bin101010100110011…
…1110000101011001
310200121210021010100
41111030332011121
510411420312020
6353502210013
750265144510
oct12514760531
93617707110
101429463385
11673992aa9
1233a883909
1319a1c642c
14d7bc1677
1585764a90
hex5533e159

1429463385 has 48 divisors (see below), whose sum is σ = 2980748160. Its totient is φ = 619073280.

The previous prime is 1429463383. The next prime is 1429463407. The reversal of 1429463385 is 5833649241.

1429463385 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 4 + 633 + 8 + 5 = 666.

It is not a de Polignac number, because 1429463385 - 21 = 1429463383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1429463385.

It is not an unprimeable number, because it can be changed into a prime (1429463381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113436 + ... + 125405.

It is an arithmetic number, because the mean of its divisors is an integer number (62098920).

Almost surely, 21429463385 is an apocalyptic number.

1429463385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1429463385 is an abundant number, since it is smaller than the sum of its proper divisors (1551284775).

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

1429463385 is a wasteful number, since it uses less digits than its factorization.

1429463385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238878 (or 238875 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1429463385 is about 37808.2449341410. The cubic root of 1429463385 is about 1126.4822299521.

The spelling of 1429463385 in words is "one billion, four hundred twenty-nine million, four hundred sixty-three thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 238841 716523 1194205 1671887 2149569 3582615 4537979 5015661 8359435 10747845 13613937 15046983 22689895 25078305 31765853 40841811 68069685 75234915 95297559 158829265 204209055 285892677 476487795 1429463385