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4742958 = 2311247139
BaseRepresentation
bin10010000101111100101110
322220222010010
4102011330232
52203233313
6245354050
755212603
oct22057456
98828103
104742958
11274a500
121708926
13ca0aac
148b66aa
1563a4c3
hex485f2e

4742958 has 48 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 1396560.

The previous prime is 4742957. The next prime is 4742971. The reversal of 4742958 is 8592474.

4742958 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34053 + ... + 34191.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 24742958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

4742958 is an abundant number, since it is smaller than the sum of its proper divisors (5982162).

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

4742958 is a wasteful number, since it uses less digits than its factorization.

4742958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 4742958 is about 2177.8333269559. The cubic root of 4742958 is about 168.0156589712.

The spelling of 4742958 in words is "four million, seven hundred forty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 47 66 94 121 139 141 242 278 282 363 417 517 726 834 1034 1529 1551 3058 3102 4587 5687 6533 9174 11374 13066 16819 17061 19599 33638 34122 39198 50457 71863 100914 143726 215589 431178 790493 1580986 2371479 4742958