Search a number
-
+
65225056 = 25131723401
BaseRepresentation
bin1111100011010…
…0000101100000
311112201202221211
43320310011200
5113144200211
610245555504
71421255341
oct370640540
9145652854
1065225056
11338aa606
1219a15b94
1310689310
14893c0c8
155ad5e21
hex3e34160

65225056 has 96 divisors (see below), whose sum is σ = 153171648. Its totient is φ = 27033600.

The previous prime is 65225053. The next prime is 65225057. The reversal of 65225056 is 65052256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65225051) by changing a digit.

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, 162456 + ... + 162856.

It is an arithmetic number, because the mean of its divisors is an integer number (1595538).

Almost surely, 265225056 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 65225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76585824).

65225056 is an abundant number, since it is smaller than the sum of its proper divisors (87946592).

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

65225056 is a wasteful number, since it uses less digits than its factorization.

65225056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 65225056 is about 8076.2030682741. The cubic root of 65225056 is about 402.5360866787.

The spelling of 65225056 in words is "sixty-five million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 68 92 104 136 184 208 221 272 299 368 391 401 416 442 544 598 736 782 802 884 1196 1564 1604 1768 2392 3128 3208 3536 4784 5083 5213 6256 6416 6817 7072 9223 9568 10166 10426 12512 12832 13634 18446 20332 20852 27268 36892 40664 41704 54536 73784 81328 83408 88621 109072 119899 147568 156791 162656 166816 177242 218144 239798 295136 313582 354484 479596 627164 708968 959192 1254328 1417936 1918384 2038283 2508656 2835872 3836768 4076566 5017312 8153132 16306264 32612528 65225056