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2389728 = 253113173
BaseRepresentation
bin1001000111011011100000
311111102002110
421013123200
51102432403
6123115320
726212065
oct11073340
94442073
102389728
111392490
12972b40
13658953
14462c6c
15323103
hex2476e0

2389728 has 96 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 691200.

The previous prime is 2389721. The next prime is 2389729. The reversal of 2389728 is 8279832.

2389728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (48384) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32700 + ... + 32772.

It is an arithmetic number, because the mean of its divisors is an integer number (74592).

22389728 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 2389728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).

2389728 is an abundant number, since it is smaller than the sum of its proper divisors (4771104).

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

2389728 is a wasteful number, since it uses less digits than its factorization.

2389728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 2389728 is about 1545.8745097840. The cubic root of 2389728 is about 133.6953053217.

The spelling of 2389728 in words is "two million, three hundred eighty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 73 88 93 96 124 132 146 176 186 219 248 264 292 341 352 372 438 496 528 584 682 744 803 876 992 1023 1056 1168 1364 1488 1606 1752 2046 2263 2336 2409 2728 2976 3212 3504 4092 4526 4818 5456 6424 6789 7008 8184 9052 9636 10912 12848 13578 16368 18104 19272 24893 25696 27156 32736 36208 38544 49786 54312 72416 74679 77088 99572 108624 149358 199144 217248 298716 398288 597432 796576 1194864 2389728