Search a number
-
+
2442752 = 2913367
BaseRepresentation
bin1001010100011000000000
311121002211022
421110120000
51111132002
6124205012
726522504
oct11243000
94532738
102442752
111419304
12999768
13676b20
14478304
15333ba2
hex254600

2442752 has 40 divisors (see below), whose sum is σ = 5270496. Its totient is φ = 1124352.

The previous prime is 2442719. The next prime is 2442767. The reversal of 2442752 is 2572442.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 216 + 43 + 45 + 218 + 75 + 52 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6473 + ... + 6839.

22442752 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 2442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635248).

2442752 is an abundant number, since it is smaller than the sum of its proper divisors (2827744).

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

2442752 is an equidigital number, since it uses as much as digits as its factorization.

2442752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its digits is 4480, while the sum is 26.

The square root of 2442752 is about 1562.9305806721. The cubic root of 2442752 is about 134.6769045360.

The spelling of 2442752 in words is "two million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 367 416 512 734 832 1468 1664 2936 3328 4771 5872 6656 9542 11744 19084 23488 38168 46976 76336 93952 152672 187904 305344 610688 1221376 2442752