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628476413 = 3724111197
BaseRepresentation
bin100101011101011…
…100100111111101
31121210120220120012
4211131130213331
52241342221123
6142210233005
721400650515
oct4535344775
91553526505
10628476413
112a28386a4
12156585765
13a0289246
145d67a845
153a295378
hex2575c9fd

628476413 has 12 divisors (see below), whose sum is σ = 661734612. Its totient is φ = 596522880.

The previous prime is 628476397. The next prime is 628476419. The reversal of 628476413 is 314674826.

It can be written as a sum of positive squares in 6 ways, for example, as 573049 + 627903364 = 757^2 + 25058^2 .

It is not a de Polignac number, because 628476413 - 24 = 628476397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628476419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50531 + ... + 61727.

It is an arithmetic number, because the mean of its divisors is an integer number (55144551).

Almost surely, 2628476413 is an apocalyptic number.

It is an amenable number.

628476413 is a deficient number, since it is larger than the sum of its proper divisors (33258199).

628476413 is a wasteful number, since it uses less digits than its factorization.

628476413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11275 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 628476413 is about 25069.4318443797. The cubic root of 628476413 is about 856.5702652772.

The spelling of 628476413 in words is "six hundred twenty-eight million, four hundred seventy-six thousand, four hundred thirteen".

Divisors: 1 37 41 1369 1517 11197 56129 414289 459077 15328693 16985849 628476413