Search a number
-
+
649953248 = 25721737659
BaseRepresentation
bin100110101111010…
…111111111100000
31200022000001020112
4212233113333200
52312342000443
6144254430452
722051340300
oct4657277740
91608001215
10649953248
1130397754a
12161802428
13a4868929
146246b600
153c0d8b18
hex26bd7fe0

649953248 has 144 divisors (see below), whose sum is σ = 1621121040. Its totient is φ = 254693376.

The previous prime is 649953247. The next prime is 649953277. The reversal of 649953248 is 842359946.

It is a junction number, because it is equal to n+sod(n) for n = 649953196 and 649953205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649953247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985943 + ... + 986601.

It is an arithmetic number, because the mean of its divisors is an integer number (11257785).

Almost surely, 2649953248 is an apocalyptic number.

649953248 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649953248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810560520).

649953248 is an abundant number, since it is smaller than the sum of its proper divisors (971167792).

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

649953248 is a wasteful number, since it uses less digits than its factorization.

649953248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 722 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 649953248 is about 25494.1806693214. The cubic root of 649953248 is about 866.2183364272.

The spelling of 649953248 in words is "six hundred forty-nine million, nine hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 49 56 68 74 98 112 119 136 148 196 224 238 259 272 296 392 476 518 544 592 629 659 784 833 952 1036 1184 1258 1318 1568 1666 1813 1904 2072 2516 2636 3332 3626 3808 4144 4403 4613 5032 5272 6664 7252 8288 8806 9226 10064 10544 11203 13328 14504 17612 18452 20128 21088 22406 24383 26656 29008 30821 32291 35224 36904 44812 48766 58016 61642 64582 70448 73808 78421 89624 97532 123284 129164 140896 147616 156842 170681 179248 195064 246568 258328 313684 341362 358496 390128 414511 493136 516656 548947 627368 682724 780256 829022 986272 1033312 1097894 1194767 1254736 1365448 1658044 2195788 2389534 2509472 2730896 2901577 3316088 4391576 4779068 5461792 5803154 6632176 8783152 9558136 11606308 13264352 17566304 19116272 20311039 23212616 38232544 40622078 46425232 81244156 92850464 162488312 324976624 649953248