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3049488 = 243413181
BaseRepresentation
bin1011101000100000010000
312201221010000
423220200100
51240040423
6145210000
734630431
oct13504020
95657100
103049488
1117a3142
121030900
1382a040
14595488
15403843
hex2e8810

3049488 has 100 divisors (see below), whose sum is σ = 9557548. Its totient is φ = 933120.

The previous prime is 3049469. The next prime is 3049507. The reversal of 3049488 is 8849403.

It is an interprime number because it is at equal distance from previous prime (3049469) and next prime (3049507).

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 2862864 = 432^2 + 1692^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 16758 + ... + 16938.

Almost surely, 23049488 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 3049488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778774).

3049488 is an abundant number, since it is smaller than the sum of its proper divisors (6508060).

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

3049488 is a wasteful number, since it uses less digits than its factorization.

3049488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3049488 is about 1746.2783283314. The cubic root of 3049488 is about 145.0136808336.

The spelling of 3049488 in words is "three million, forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 181 208 216 234 312 324 351 362 432 468 543 624 648 702 724 936 1053 1086 1296 1404 1448 1629 1872 2106 2172 2353 2808 2896 3258 4212 4344 4706 4887 5616 6516 7059 8424 8688 9412 9774 13032 14118 14661 16848 18824 19548 21177 26064 28236 29322 37648 39096 42354 56472 58644 63531 78192 84708 112944 117288 127062 169416 190593 234576 254124 338832 381186 508248 762372 1016496 1524744 3049488