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4738428 = 2232433061
BaseRepresentation
bin10010000100110101111100
322220201220100
4102010311330
52203112203
6245321100
755163442
oct22046574
98821810
104738428
112747062
121706190
13c9ba06
148b4b92
15638ea3
hex484d7c

4738428 has 36 divisors (see below), whose sum is σ = 12260248. Its totient is φ = 1542240.

The previous prime is 4738423. The next prime is 4738439. The reversal of 4738428 is 8248374.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×47384282 = 44905399822368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 47 + 74 + 33 + 83 + 411 + 219 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 4738392 and 4738401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4738421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 3078.

Almost surely, 24738428 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 4738428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130124).

4738428 is an abundant number, since it is smaller than the sum of its proper divisors (7521820).

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

4738428 is a wasteful number, since it uses less digits than its factorization.

4738428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3109 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4738428 is about 2176.7930540132. The cubic root of 4738428 is about 167.9621513377.

The spelling of 4738428 in words is "four million, seven hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 3061 6122 9183 12244 18366 27549 36732 55098 110196 131623 263246 394869 526492 789738 1184607 1579476 2369214 4738428