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649408368 = 24372299521
BaseRepresentation
bin100110101101010…
…010111101110000
31200020222100210210
4212231102331300
52312222031433
6144235024120
722043610600
oct4655227560
91606870723
10649408368
11303635134
1216159b040
13a470790b
1462368c00
153c02c463
hex26b52f70

649408368 has 120 divisors (see below), whose sum is σ = 2019044880. Its totient is φ = 179128320.

The previous prime is 649408343. The next prime is 649408399. The reversal of 649408368 is 863804946.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63448 + ... + 72968.

It is an arithmetic number, because the mean of its divisors is an integer number (16825374).

Almost surely, 2649408368 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 649408368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009522440).

649408368 is an abundant number, since it is smaller than the sum of its proper divisors (1369636512).

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

649408368 is a wasteful number, since it uses less digits than its factorization.

649408368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 649408368 is about 25483.4920683960. The cubic root of 649408368 is about 865.9762077283.

The spelling of 649408368 in words is "six hundred forty-nine million, four hundred eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2352 2436 2842 3248 4263 4872 5684 8526 9521 9744 11368 17052 19042 22736 28563 34104 38084 57126 66647 68208 76168 114252 133294 152336 199941 228504 266588 276109 399882 457008 466529 533176 552218 799764 828327 933058 1066352 1104436 1399587 1599528 1656654 1866116 1932763 2208872 2799174 3199056 3313308 3732232 3865526 4417744 5598348 5798289 6626616 7464464 7731052 11196696 11596578 13253232 13529341 15462104 22393392 23193156 27058682 30924208 40588023 46386312 54117364 81176046 92772624 108234728 162352092 216469456 324704184 649408368