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628629105 = 35133223739
BaseRepresentation
bin100101011110000…
…001111001110001
31121210212200000110
4211132001321301
52241412112410
6142213411533
721402154626
oct4536017161
91553780013
10628629105
112a2932395
12156639ba9
13a03108b0
145d6ba34d
153a2c5720
hex25781e71

628629105 has 16 divisors (see below), whose sum is σ = 1083176640. Its totient is φ = 309478848.

The previous prime is 628629103. The next prime is 628629119. The reversal of 628629105 is 501926826.

628629105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 628629105 - 21 = 628629103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (628629103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611675 + ... + 1612064.

It is an arithmetic number, because the mean of its divisors is an integer number (67698540).

Almost surely, 2628629105 is an apocalyptic number.

628629105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

628629105 is a deficient number, since it is larger than the sum of its proper divisors (454547535).

628629105 is a wasteful number, since it uses less digits than its factorization.

628629105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223760.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 628629105 is about 25072.4770415689. The cubic root of 628629105 is about 856.6396292361.

The spelling of 628629105 in words is "six hundred twenty-eight million, six hundred twenty-nine thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 195 3223739 9671217 16118695 41908607 48356085 125725821 209543035 628629105