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2938428 = 2232312633
BaseRepresentation
bin1011001101011000111100
312112021202200
423031120330
51223012203
6142551500
733655563
oct13153074
95467680
102938428
111727759
12b98590
137bb61c
14566bda
153d09a3
hex2cd63c

2938428 has 36 divisors (see below), whose sum is σ = 7670208. Its totient is φ = 947520.

The previous prime is 2938423. The next prime is 2938451. The reversal of 2938428 is 8248392.

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

It is a super-2 number, since 2×29384282 = 17268718222368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2938392 and 2938401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201 + ... + 2432.

22938428 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 2938428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835104).

2938428 is an abundant number, since it is smaller than the sum of its proper divisors (4731780).

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

2938428 is a wasteful number, since it uses less digits than its factorization.

2938428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2669 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2938428 is about 1714.1843541463. The cubic root of 2938428 is about 143.2314377052.

Subtracting from 2938428 its sum of digits (36), we obtain a palindrome (2938392).

The spelling of 2938428 in words is "two million, nine hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2633 5266 7899 10532 15798 23697 31596 47394 81623 94788 163246 244869 326492 489738 734607 979476 1469214 2938428