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4704642 = 234113257
BaseRepresentation
bin10001111100100110000010
322212000120000
4101330212002
52201022032
6244500430
754663105
oct21744602
98760500
104704642
112723738
1216aa716
13c89517
148a673c
1562de7c
hex47c982

4704642 has 40 divisors (see below), whose sum is σ = 10676556. Its totient is φ = 1548288.

The previous prime is 4704619. The next prime is 4704643. The reversal of 4704642 is 2464074.

It can be written as a sum of positive squares in 2 ways, for example, as 4704561 + 81 = 2169^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4704643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18178 + ... + 18434.

Almost surely, 24704642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4704642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338278).

4704642 is an abundant number, since it is smaller than the sum of its proper divisors (5971914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4704642 is a wasteful number, since it uses less digits than its factorization.

4704642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4704642 is about 2169.0186721188. The cubic root of 4704642 is about 167.5619968023.

The spelling of 4704642 in words is "four million, seven hundred four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 257 339 514 678 771 1017 1542 2034 2313 3051 4626 6102 6939 9153 13878 18306 20817 29041 41634 58082 87123 174246 261369 522738 784107 1568214 2352321 4704642