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2491728 = 243233761
BaseRepresentation
bin1001100000010101010000
311200121000020
421200111100
51114213403
6125223440
730115341
oct11402520
94617006
102491728
111452088
12a01b80
136931c5
1448c0c8
15343453
hex260550

2491728 has 80 divisors (see below), whose sum is σ = 7011456. Its totient is φ = 760320.

The previous prime is 2491711. The next prime is 2491729. The reversal of 2491728 is 8271942.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (8064) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40818 + ... + 40878.

22491728 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 2491728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505728).

2491728 is an abundant number, since it is smaller than the sum of its proper divisors (4519728).

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

2491728 is a wasteful number, since it uses less digits than its factorization.

2491728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 2491728 is about 1578.5208265968. The cubic root of 2491728 is about 135.5710243428.

The spelling of 2491728 in words is "two million, four hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 61 69 74 92 111 122 138 148 183 184 222 244 276 296 366 368 444 488 552 592 732 851 888 976 1104 1403 1464 1702 1776 2257 2553 2806 2928 3404 4209 4514 5106 5612 6771 6808 8418 9028 10212 11224 13542 13616 16836 18056 20424 22448 27084 33672 36112 40848 51911 54168 67344 103822 108336 155733 207644 311466 415288 622932 830576 1245864 2491728