Search a number
-
+
265040608 = 25721761163
BaseRepresentation
bin11111100110000…
…11001011100000
3200110201110100211
433303003023200
51020322244413
642144423504
76365544100
oct1763031340
9613643324
10265040608
11126676a28
1274917b94
1342baa681
14272b3200
151840583d
hexfcc32e0

265040608 has 144 divisors (see below), whose sum is σ = 657239184. Its totient is φ = 104509440.

The previous prime is 265040603. The next prime is 265040621. The reversal of 265040608 is 806040562.

265040608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 265040608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265040603) 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, 1625935 + ... + 1626097.

It is an arithmetic number, because the mean of its divisors is an integer number (4564161).

Almost surely, 2265040608 is an apocalyptic number.

265040608 is a gapful number since it is divisible by the number (28) 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 265040608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328619592).

265040608 is an abundant number, since it is smaller than the sum of its proper divisors (392198576).

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

265040608 is a wasteful number, since it uses less digits than its factorization.

265040608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 265040608 is about 16280.0678131266. The cubic root of 265040608 is about 642.3486361883.

The spelling of 265040608 in words is "two hundred sixty-five million, forty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 61 68 98 112 119 122 136 163 196 224 238 244 272 326 392 427 476 488 544 652 784 833 854 952 976 1037 1141 1304 1568 1666 1708 1904 1952 2074 2282 2608 2771 2989 3332 3416 3808 4148 4564 5216 5542 5978 6664 6832 7259 7987 8296 9128 9943 11084 11956 13328 13664 14518 15974 16592 18256 19397 19886 22168 23912 26656 29036 31948 33184 36512 38794 39772 44336 47824 50813 58072 63896 69601 77588 79544 88672 95648 101626 116144 127792 135779 139202 155176 159088 169031 203252 232288 255584 271558 278404 310352 318176 338062 406504 487207 543116 556808 620704 676124 813008 974414 1086232 1113616 1183217 1352248 1626016 1948828 2172464 2227232 2366434 2704496 3897656 4344928 4732868 5408992 7795312 8282519 9465736 15590624 16565038 18931472 33130076 37862944 66260152 132520304 265040608