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4742608 = 24131512
BaseRepresentation
bin10010000101110111010000
322220221122011
4102011313100
52203230413
6245352304
755211563
oct22056720
98827564
104742608
11274a212
121708694
13ca08a0
148b64da
1563a33d
hex485dd0

4742608 has 30 divisors (see below), whose sum is σ = 9961602. Its totient is φ = 2174400.

The previous prime is 4742603. The next prime is 4742611. The reversal of 4742608 is 8062474.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 1459264 = 1812^2 + 1208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4742608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31333 + ... + 31483.

Almost surely, 24742608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980801).

4742608 is an abundant number, since it is smaller than the sum of its proper divisors (5218994).

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

4742608 is a wasteful number, since it uses less digits than its factorization.

4742608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4742608 is about 2177.7529703802. The cubic root of 4742608 is about 168.0115260422.

The spelling of 4742608 in words is "four million, seven hundred forty-two thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 151 208 302 604 1208 1963 2416 3926 7852 15704 22801 31408 45602 91204 182408 296413 364816 592826 1185652 2371304 4742608