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2484352 = 27131493
BaseRepresentation
bin1001011110100010000000
311200012220001
421132202000
51113444402
6125125344
730055003
oct11364200
94605801
102484352
111447592
129b9854
1368ca40
1448953a
15341187
hex25e880

2484352 has 32 divisors (see below), whose sum is σ = 5333580. Its totient is φ = 1145856.

The previous prime is 2484331. The next prime is 2484353. The reversal of 2484352 is 2534842.

2484352 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 576 = 1576^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 27 + 42 + 83 + 46 + 37 + 59 + 219 .

It is a self number, because there is not a number n which added to its sum of digits gives 2484352.

It is not an unprimeable number, because it can be changed into a prime (2484353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 918 + ... + 2410.

22484352 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 2484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666790).

2484352 is an abundant number, since it is smaller than the sum of its proper divisors (2849228).

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

2484352 is a wasteful number, since it uses less digits than its factorization.

2484352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 2484352 is about 1576.1827305233. The cubic root of 2484352 is about 135.4371199191.

The spelling of 2484352 in words is "two million, four hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1493 1664 2986 5972 11944 19409 23888 38818 47776 77636 95552 155272 191104 310544 621088 1242176 2484352