Search a number
-
+
65533056 = 2731571087
BaseRepresentation
bin1111100111111…
…1010010000000
311120022102110020
43321333102000
5113234024211
610300333440
71424010321
oct371772200
9146272406
1065533056
1133a9aa56
1219b44280
1310766574
1489bc448
155b47306
hex3e7f480

65533056 has 64 divisors (see below), whose sum is σ = 175342080. Its totient is φ = 21685248.

The previous prime is 65533051. The next prime is 65533057. The reversal of 65533056 is 65033556.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (65533051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59745 + ... + 60831.

It is an arithmetic number, because the mean of its divisors is an integer number (2739720).

Almost surely, 265533056 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 65533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87671040).

65533056 is an abundant number, since it is smaller than the sum of its proper divisors (109809024).

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

65533056 is a wasteful number, since it uses less digits than its factorization.

65533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 65533056 is about 8095.2489770235. The cubic root of 65533056 is about 403.1686987543.

Subtracting from 65533056 its reverse (65033556), we obtain a triangular number (499500 = T999).

The spelling of 65533056 in words is "sixty-five million, five hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1087 1256 1884 2174 2512 3261 3768 4348 5024 6522 7536 8696 10048 13044 15072 17392 20096 26088 30144 34784 52176 60288 69568 104352 139136 170659 208704 341318 417408 511977 682636 1023954 1365272 2047908 2730544 4095816 5461088 8191632 10922176 16383264 21844352 32766528 65533056