Search a number
-
+
2491008 = 27313499
BaseRepresentation
bin1001100000001010000000
311200120000120
421200022000
51114203013
6125220240
730113262
oct11401200
94616016
102491008
111451593
12a01680
13692a90
1448bb32
15343123
hex260280

2491008 has 64 divisors (see below), whose sum is σ = 7140000. Its totient is φ = 764928.

The previous prime is 2491007. The next prime is 2491009. The reversal of 2491008 is 8001942.

It is an interprime number because it is at equal distance from previous prime (2491007) and next prime (2491009).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2491001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4743 + ... + 5241.

22491008 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 2491008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570000).

2491008 is an abundant number, since it is smaller than the sum of its proper divisors (4648992).

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

2491008 is a wasteful number, since it uses less digits than its factorization.

2491008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2491008 is about 1578.2927485102. The cubic root of 2491008 is about 135.5579650601.

The spelling of 2491008 in words is "two million, four hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 499 624 832 998 1248 1497 1664 1996 2496 2994 3992 4992 5988 6487 7984 11976 12974 15968 19461 23952 25948 31936 38922 47904 51896 63872 77844 95808 103792 155688 191616 207584 311376 415168 622752 830336 1245504 2491008