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2988648 = 23321331103
BaseRepresentation
bin1011011001101001101000
312121211122200
423121221220
51231114043
6144020200
734255155
oct13315150
95554580
102988648
111761463
121001660
13808440
1457b22c
153e07d3
hex2d9a68

2988648 has 96 divisors (see below), whose sum is σ = 9085440. Its totient is φ = 881280.

The previous prime is 2988647. The next prime is 2988659. The reversal of 2988648 is 8468892.

It is a happy number.

2988648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2988647) 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 23 ways as a sum of consecutive naturals, for example, 28965 + ... + 29067.

It is an arithmetic number, because the mean of its divisors is an integer number (94640).

22988648 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 2988648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542720).

2988648 is an abundant number, since it is smaller than the sum of its proper divisors (6096792).

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

2988648 is a wasteful number, since it uses less digits than its factorization.

2988648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2988648 is about 1728.7706614817. The cubic root of 2988648 is about 144.0428113450.

The spelling of 2988648 in words is "two million, nine hundred eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 103 104 117 124 156 186 206 234 248 279 309 312 372 403 412 468 558 618 744 806 824 927 936 1116 1209 1236 1339 1612 1854 2232 2418 2472 2678 3193 3224 3627 3708 4017 4836 5356 6386 7254 7416 8034 9579 9672 10712 12051 12772 14508 16068 19158 24102 25544 28737 29016 32136 38316 41509 48204 57474 76632 83018 96408 114948 124527 166036 229896 249054 332072 373581 498108 747162 996216 1494324 2988648