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4982272 = 2937263
BaseRepresentation
bin10011000000011000000000
3100101010101121
4103000120000
52233413042
6254442024
760230401
oct23003000
910333347
104982272
1128a3289
121803314
1310559b9
149399a8
15686367
hex4c0600

4982272 has 40 divisors (see below), whose sum is σ = 10262736. Its totient is φ = 2414592.

The previous prime is 4982269. The next prime is 4982273. The reversal of 4982272 is 2722894.

It is an Ulam number.

It is a d-powerful number, because it can be written as 48 + 97 + 83 + 27 + 211 + 7 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4982273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18813 + ... + 19075.

Almost surely, 24982272 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 4982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131368).

4982272 is an abundant number, since it is smaller than the sum of its proper divisors (5280464).

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

4982272 is an equidigital number, since it uses as much as digits as its factorization.

4982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 4982272 is about 2232.1003561668. The cubic root of 4982272 is about 170.7952589879.

It can be divided in two parts, 49822 and 72, that added together give a palindrome (49894).

The spelling of 4982272 in words is "four million, nine hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 263 296 512 526 592 1052 1184 2104 2368 4208 4736 8416 9472 9731 16832 18944 19462 33664 38924 67328 77848 134656 155696 311392 622784 1245568 2491136 4982272