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265435968 = 2637414817
BaseRepresentation
bin11111101001000…
…11101101000000
3200111110112200210
433310203231000
51020422422333
642201114120
76402111540
oct1764435500
9614415623
10265435968
11126916a76
1274a88940
1342cb8605
1427377320
1518482a63
hexfd23b40

265435968 has 112 divisors (see below), whose sum is σ = 822374784. Its totient is φ = 73973760.

The previous prime is 265435897. The next prime is 265435997. The reversal of 265435968 is 869534562.

265435968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52696 + ... + 57512.

It is an arithmetic number, because the mean of its divisors is an integer number (7342632).

Almost surely, 2265435968 is an apocalyptic number.

265435968 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 265435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411187392).

265435968 is an abundant number, since it is smaller than the sum of its proper divisors (556938816).

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

265435968 is a wasteful number, since it uses less digits than its factorization.

265435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4870 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 265435968 is about 16292.2057438519. The cubic root of 265435968 is about 642.6678737908.

The spelling of 265435968 in words is "two hundred sixty-five million, four hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 4817 6888 7872 9184 9634 13776 14451 18368 19268 27552 28902 33719 38536 55104 57804 67438 77072 101157 115608 134876 154144 197497 202314 231216 269752 308288 394994 404628 462432 539504 592491 789988 809256 924864 1079008 1184982 1382479 1579976 1618512 2158016 2369964 2764958 3159952 3237024 4147437 4739928 5529916 6319904 6474048 8294874 9479856 11059832 12639808 16589748 18959712 22119664 33179496 37919424 44239328 66358992 88478656 132717984 265435968