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1628424693 = 32723692573
BaseRepresentation
bin110000100001111…
…1100100111110101
311012111011112201200
41201003330213311
511313334042233
6425330443113
755232244600
oct14103744765
94174145650
101628424693
11766226635
12395433499
131cc4a8a0c
141163b3337
1597e66313
hex610fc9f5

1628424693 has 18 divisors (see below), whose sum is σ = 2736197334. Its totient is φ = 930528144.

The previous prime is 1628424691. The next prime is 1628424701. The reversal of 1628424693 is 3964248261.

1628424693 is a `hidden beast` number, since 162 + 8 + 424 + 69 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 969886449 + 658538244 = 31143^2 + 25662^2 .

It is not a de Polignac number, because 1628424693 - 21 = 1628424691 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628424691) 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 17 ways as a sum of consecutive naturals, for example, 1845846 + ... + 1846727.

It is an arithmetic number, because the mean of its divisors is an integer number (152010963).

Almost surely, 21628424693 is an apocalyptic number.

It is an amenable number.

1628424693 is a deficient number, since it is larger than the sum of its proper divisors (1107772641).

1628424693 is a wasteful number, since it uses less digits than its factorization.

1628424693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692593 (or 3692583 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1628424693 is about 40353.7444730969. The cubic root of 1628424693 is about 1176.4926719732.

The spelling of 1628424693 in words is "one billion, six hundred twenty-eight million, four hundred twenty-four thousand, six hundred ninety-three".

Divisors: 1 3 7 9 21 49 63 147 441 3692573 11077719 25848011 33233157 77544033 180936077 232632099 542808231 1628424693