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65057616 = 243213231511
BaseRepresentation
bin1111100000101…
…1001101010000
311112102021021100
43320023031100
5113123320431
610242224400
71416660231
oct370131520
9145367240
1065057616
11337a5828
1219955100
131062b040
1488d7088
155aa14e6
hex3e0b350

65057616 has 120 divisors (see below), whose sum is σ = 204736896. Its totient is φ = 19134720.

The previous prime is 65057599. The next prime is 65057617. The reversal of 65057616 is 61675056.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65057617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42301 + ... + 43811.

Almost surely, 265057616 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 65057616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

65057616 is an abundant number, since it is smaller than the sum of its proper divisors (139679280).

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

65057616 is a wasteful number, since it uses less digits than its factorization.

65057616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 65057616 is about 8065.8301494638. The cubic root of 65057616 is about 402.1913398188.

The spelling of 65057616 in words is "sixty-five million, fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1511 1656 1794 1872 2392 2691 3022 3312 3588 4533 4784 5382 6044 7176 9066 10764 12088 13599 14352 18132 19643 21528 24176 27198 34753 36264 39286 43056 54396 58929 69506 72528 78572 104259 108792 117858 139012 157144 176787 208518 217584 235716 278024 312777 314288 353574 417036 451789 471432 556048 625554 707148 834072 903578 942864 1251108 1355367 1414296 1668144 1807156 2502216 2710734 2828592 3614312 4066101 5004432 5421468 7228624 8132202 10842936 16264404 21685872 32528808 65057616