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4482972 = 22331331103
BaseRepresentation
bin10001000110011110011100
322102202111000
4101012132130
52121423342
6240030300
753050614
oct21063634
98382430
104482972
11259213a
121602390
13c0c660
14849a44
155d844c
hex44679c

4482972 has 96 divisors (see below), whose sum is σ = 13045760. Its totient is φ = 1321920.

The previous prime is 4482971. The next prime is 4482977. The reversal of 4482972 is 2792844.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4482971) 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 31 ways as a sum of consecutive naturals, for example, 43473 + ... + 43575.

Almost surely, 24482972 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 4482972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522880).

4482972 is an abundant number, since it is smaller than the sum of its proper divisors (8562788).

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

4482972 is a wasteful number, since it uses less digits than its factorization.

4482972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4482972 is about 2117.3030014620. The cubic root of 4482972 is about 164.8878576840.

The spelling of 4482972 in words is "four million, four hundred eighty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 103 108 117 124 156 186 206 234 279 309 351 372 403 412 468 558 618 702 806 837 927 1116 1209 1236 1339 1404 1612 1674 1854 2418 2678 2781 3193 3348 3627 3708 4017 4836 5356 5562 6386 7254 8034 9579 10881 11124 12051 12772 14508 16068 19158 21762 24102 28737 36153 38316 41509 43524 48204 57474 72306 83018 86211 114948 124527 144612 166036 172422 249054 344844 373581 498108 747162 1120743 1494324 2241486 4482972