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1429658037 = 32296189797
BaseRepresentation
bin101010100110110…
…1101100110110101
310200122011011010200
41111031231212311
510411443024122
6353510311113
750266615143
oct12515554665
93618134120
101429658037
11674006275
1233a958499
1319a263c02
14d7c32593
15857a25ac
hex5536d9b5

1429658037 has 24 divisors (see below), whose sum is σ = 2171315640. Its totient is φ = 905143680.

The previous prime is 1429657967. The next prime is 1429658057. The reversal of 1429658037 is 7308569241.

1429658037 is a `hidden beast` number, since 14 + 29 + 6 + 580 + 37 = 666.

1429658037 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5803281 + 1423854756 = 2409^2 + 37734^2 .

It is not a de Polignac number, because 1429658037 - 28 = 1429657781 is a prime.

1429658037 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1429657983 and 1429658001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429658057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28978 + ... + 60819.

It is an arithmetic number, because the mean of its divisors is an integer number (90471485).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1429658037 = 2859316074, but 3⋅1429658037 = 4288974111 is not.

Almost surely, 21429658037 is an apocalyptic number.

It is an amenable number.

1429658037 is a deficient number, since it is larger than the sum of its proper divisors (741657603).

1429658037 is a wasteful number, since it uses less digits than its factorization.

1429658037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89893 (or 89890 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1429658037 is about 37810.8190469342. The cubic root of 1429658037 is about 1126.5333591776.

The spelling of 1429658037 in words is "one billion, four hundred twenty-nine million, six hundred fifty-eight thousand, thirty-seven".

Divisors: 1 3 9 29 61 87 183 261 549 1769 5307 15921 89797 269391 808173 2604113 5477617 7812339 16432851 23437017 49298553 158850893 476552679 1429658037