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629407141 = 11791494861
BaseRepresentation
bin100101100000111…
…111110110100101
31121212100012021121
4211200333312211
52242112012031
6142242213541
721411605146
oct4540776645
91555305247
10629407141
112a33139a0
121569542b1
13a0523a7c
145d83dacd
153a3cb011
hex2583fda5

629407141 has 16 divisors (see below), whose sum is σ = 700128000. Its totient is φ = 561038400.

The previous prime is 629407073. The next prime is 629407153. The reversal of 629407141 is 141704926.

It is a cyclic number.

It is not a de Polignac number, because 629407141 - 27 = 629407013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 629407097 and 629407106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629407741) 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 15 ways as a sum of consecutive naturals, for example, 127051 + ... + 131911.

It is an arithmetic number, because the mean of its divisors is an integer number (43758000).

Almost surely, 2629407141 is an apocalyptic number.

It is an amenable number.

629407141 is a deficient number, since it is larger than the sum of its proper divisors (70720859).

629407141 is a wasteful number, since it uses less digits than its factorization.

629407141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 629407141 is about 25087.9879822994. The cubic root of 629407141 is about 856.9928962030.

The spelling of 629407141 in words is "six hundred twenty-nine million, four hundred seven thousand, one hundred forty-one".

Divisors: 1 11 79 149 869 1639 4861 11771 53471 129481 384019 724289 4224209 7967179 57218831 629407141