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649489248 = 25328925339
BaseRepresentation
bin100110101101100…
…110101101100000
31200021010110202100
4212231212231200
52312232123443
6144240450400
722044365442
oct4655465540
91607113670
10649489248
1130368a981
12161619a00
13a4735685
146238a492
153c0463d3
hex26b66b60

649489248 has 72 divisors (see below), whose sum is σ = 1867811400. Its totient is φ = 214055424.

The previous prime is 649489207. The next prime is 649489261. The reversal of 649489248 is 842984946.

649489248 is digitally balanced in base 2, 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 649489194 and 649489203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12963 + ... + 38301.

It is an arithmetic number, because the mean of its divisors is an integer number (25941825).

Almost surely, 2649489248 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 649489248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933905700).

649489248 is an abundant number, since it is smaller than the sum of its proper divisors (1218322152).

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

649489248 is a wasteful number, since it uses less digits than its factorization.

649489248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25444 (or 25433 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 649489248 is about 25485.0789286594. The cubic root of 649489248 is about 866.0121569870.

The spelling of 649489248 in words is "six hundred forty-nine million, four hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25339 25632 50678 76017 101356 152034 202712 228051 304068 405424 456102 608136 810848 912204 1216272 1824408 2255171 2432544 3648816 4510342 6765513 7297632 9020684 13531026 18041368 20296539 27062052 36082736 40593078 54124104 72165472 81186156 108248208 162372312 216496416 324744624 649489248