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4742232 = 2331122371
BaseRepresentation
bin10010000101110001011000
322220221010020
4102011301120
52203222412
6245350440
755210515
oct22056130
98827106
104742232
112749a00
121708420
13ca0671
148b630c
1563a18c
hex485c58

4742232 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1355200.

The previous prime is 4742219. The next prime is 4742239. The reversal of 4742232 is 2322474.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 42 + 7 + 42 + 26 + 214 + 312 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742239) 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, 66757 + ... + 66827.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 24742232 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 4742232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4742232 is an abundant number, since it is smaller than the sum of its proper divisors (9047208).

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

4742232 is a wasteful number, since it uses less digits than its factorization.

4742232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 4742232 is about 2177.6666411552. Note that the first 4 decimals coincide. The cubic root of 4742232 is about 168.0070858689.

The spelling of 4742232 in words is "four million, seven hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 71 88 92 121 132 138 142 184 213 242 253 264 276 284 363 426 484 506 552 568 726 759 781 852 968 1012 1452 1518 1562 1633 1704 2024 2343 2783 2904 3036 3124 3266 4686 4899 5566 6072 6248 6532 8349 8591 9372 9798 11132 13064 16698 17182 17963 18744 19596 22264 25773 33396 34364 35926 39192 51546 53889 66792 68728 71852 103092 107778 143704 197593 206184 215556 395186 431112 592779 790372 1185558 1580744 2371116 4742232