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2489616 = 243417113
BaseRepresentation
bin1001011111110100010000
311200111010000
421133310100
51114131431
6125210000
730106233
oct11376420
94614100
102489616
111450538
12a00900
1369225c
1448b41a
153429e6
hex25fd10

2489616 has 100 divisors (see below), whose sum is σ = 7697052. Its totient is φ = 774144.

The previous prime is 2489611. The next prime is 2489639. The reversal of 2489616 is 6169842.

2489616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 810000 + 1679616 = 900^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2489611) 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 19 ways as a sum of consecutive naturals, for example, 21976 + ... + 22088.

22489616 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 2489616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848526).

2489616 is an abundant number, since it is smaller than the sum of its proper divisors (5207436).

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

2489616 is a wasteful number, since it uses less digits than its factorization.

2489616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2489616 is about 1577.8517040584. The cubic root of 2489616 is about 135.5327099764.

The spelling of 2489616 in words is "two million, four hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 113 136 144 153 162 204 216 226 272 306 324 339 408 432 452 459 612 648 678 816 904 918 1017 1224 1296 1356 1377 1808 1836 1921 2034 2448 2712 2754 3051 3672 3842 4068 5424 5508 5763 6102 7344 7684 8136 9153 11016 11526 12204 15368 16272 17289 18306 22032 23052 24408 30736 34578 36612 46104 48816 51867 69156 73224 92208 103734 138312 146448 155601 207468 276624 311202 414936 622404 829872 1244808 2489616