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649281248 = 25711416427
BaseRepresentation
bin100110101100110…
…011111011100000
31200020201220102122
4212230303323200
52312203444443
6144232203412
722042541150
oct4654637340
91606656378
10649281248
11303558680
12161539568
13a4691ab5
1462334760
153c004968
hex26b33ee0

649281248 has 96 divisors (see below), whose sum is σ = 1632814848. Its totient is φ = 246758400.

The previous prime is 649281247. The next prime is 649281251. The reversal of 649281248 is 842182946.

It is a super-2 number, since 2×6492812482 = 843132278008875008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 649281199 and 649281208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649281247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97811 + ... + 104237.

It is an arithmetic number, because the mean of its divisors is an integer number (17008488).

Almost surely, 2649281248 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 649281248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816407424).

649281248 is an abundant number, since it is smaller than the sum of its proper divisors (983533600).

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

649281248 is a wasteful number, since it uses less digits than its factorization.

649281248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6488 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 649281248 is about 25480.9977826615. The cubic root of 649281248 is about 865.9196998439.

The spelling of 649281248 in words is "six hundred forty-nine million, two hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 41 44 56 77 82 88 112 154 164 176 224 287 308 328 352 451 574 616 656 902 1148 1232 1312 1804 2296 2464 3157 3608 4592 6314 6427 7216 9184 12628 12854 14432 25256 25708 44989 50512 51416 70697 89978 101024 102832 141394 179956 205664 263507 282788 359912 494879 527014 565576 719824 989758 1054028 1131152 1439648 1844549 1979516 2108056 2262304 2898577 3689098 3959032 4216112 5797154 7378196 7918064 8432224 11594308 14756392 15836128 20290039 23188616 29512784 40580078 46377232 59025568 81160156 92754464 162320312 324640624 649281248