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2491488 = 253241211
BaseRepresentation
bin1001100000010001100000
311200120200100
421200101200
51114211423
6125222400
730114546
oct11402140
94616610
102491488
11145198a
12a01a00
1369306c
1448bd96
15343343
hex260460

2491488 has 72 divisors (see below), whose sum is σ = 7292376. Its totient is φ = 806400.

The previous prime is 2491487. The next prime is 2491493. The reversal of 2491488 is 8841942.

2491488 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11703 + ... + 11913.

It is an arithmetic number, because the mean of its divisors is an integer number (101283).

22491488 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 2491488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646188).

2491488 is an abundant number, since it is smaller than the sum of its proper divisors (4800888).

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

2491488 is a wasteful number, since it uses less digits than its factorization.

2491488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2491488 is about 1578.4448042298. Note that the first 3 decimals coincide. The cubic root of 2491488 is about 135.5666715281.

Adding to 2491488 its product of digits (18432), we get a triangular number (2509920 = T2240).

The spelling of 2491488 in words is "two million, four hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 211 246 288 328 369 422 492 633 656 738 844 984 1266 1312 1476 1688 1899 1968 2532 2952 3376 3798 3936 5064 5904 6752 7596 8651 10128 11808 15192 17302 20256 25953 30384 34604 51906 60768 69208 77859 103812 138416 155718 207624 276832 311436 415248 622872 830496 1245744 2491488