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65365056 = 2637467
BaseRepresentation
bin1111100101011…
…0010001000000
311112222220000000
43321112101000
5113213140211
610253000000
71422410451
oct371262100
9145886000
1065365056
1133995809
1219a83000
1310707c63
148977128
155b12656
hex3e56440

65365056 has 112 divisors (see below), whose sum is σ = 194950080. Its totient is φ = 21741696.

The previous prime is 65365049. The next prime is 65365087. The reversal of 65365056 is 65056356.

It is a happy number.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 65365056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139735 + ... + 140201.

Almost surely, 265365056 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 65365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97475040).

65365056 is an abundant number, since it is smaller than the sum of its proper divisors (129585024).

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

65365056 is an frugal number, since it uses more digits than its factorization.

65365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 65365056 is about 8084.8658615960. The cubic root of 65365056 is about 402.8238839516.

The spelling of 65365056 in words is "sixty-five million, three hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 467 486 576 648 729 864 934 972 1296 1401 1458 1728 1868 1944 2187 2592 2802 2916 3736 3888 4203 4374 5184 5604 5832 7472 7776 8406 8748 11208 11664 12609 14944 15552 16812 17496 22416 23328 25218 29888 33624 34992 37827 44832 46656 50436 67248 69984 75654 89664 100872 113481 134496 139968 151308 201744 226962 268992 302616 340443 403488 453924 605232 680886 806976 907848 1021329 1210464 1361772 1815696 2042658 2420928 2723544 3631392 4085316 5447088 7262784 8170632 10894176 16341264 21788352 32682528 65365056