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65550368 = 25132172331
BaseRepresentation
bin1111101000001…
…1100000100000
311120100022012102
43322003200200
5113240102433
610300545532
71424111642
oct372034040
9146308172
1065550368
1134001a64
1219b522a8
1310771400
1489c4892
155b4c4e8
hex3e83820

65550368 has 144 divisors (see below), whose sum is σ = 159376896. Its totient is φ = 26357760.

The previous prime is 65550319. The next prime is 65550389. The reversal of 65550368 is 86305556.

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, 2114513 + ... + 2114543.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 265550368 is an apocalyptic number.

65550368 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 65550368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79688448).

65550368 is an abundant number, since it is smaller than the sum of its proper divisors (93826528).

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

65550368 is a wasteful number, since it uses less digits than its factorization.

65550368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 65550368 is about 8096.3181755660. The cubic root of 65550368 is about 403.2041975921.

The spelling of 65550368 in words is "sixty-five million, five hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 31 32 34 46 52 62 68 92 104 124 136 169 184 208 221 248 272 299 338 368 391 403 416 442 496 527 544 598 676 713 736 782 806 884 992 1054 1196 1352 1426 1564 1612 1768 2108 2392 2704 2852 2873 3128 3224 3536 3887 4216 4784 5083 5239 5408 5704 5746 6256 6448 6851 7072 7774 8432 9269 9568 10166 10478 11408 11492 12121 12512 12896 13702 15548 16864 18538 20332 20956 22816 22984 24242 27404 31096 37076 40664 41912 45968 48484 54808 62192 66079 74152 81328 83824 89063 91936 96968 109616 120497 124384 132158 148304 157573 162656 167648 178126 193936 219232 240994 264316 296608 315146 356252 387872 481988 528632 630292 712504 963976 1057264 1260584 1425008 1927952 2048449 2114528 2521168 2850016 3855904 4096898 5042336 8193796 16387592 32775184 65550368