Search a number
-
+
4235075264 = 26727134883
BaseRepresentation
bin1111110001101110…
…0001111011000000
3101221011001010002102
43330123201323000
532133134402024
61540124205532
7206643355130
oct37433417300
911834033072
104235075264
111883653802
129a23998a8
13526539ac4
142c2666ac0
1519bc0c1ae
hexfc6e1ec0

4235075264 has 56 divisors (see below), whose sum is σ = 9640263168. Its totient is φ = 1808282880.

The previous prime is 4235075219. The next prime is 4235075267. The reversal of 4235075264 is 4625705324.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (4235075267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103967 + ... + 138849.

Almost surely, 24235075264 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 4235075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820131584).

4235075264 is an abundant number, since it is smaller than the sum of its proper divisors (5405187904).

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

4235075264 is a wasteful number, since it uses less digits than its factorization.

4235075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35173 (or 35163 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The square root of 4235075264 is about 65077.4558814341. The cubic root of 4235075264 is about 1617.9075846033.

The spelling of 4235075264 in words is "four billion, two hundred thirty-five million, seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1897 2168 3794 4336 7588 8672 15176 17344 30352 34883 60704 69766 121408 139532 244181 279064 488362 558128 976724 1116256 1953448 2232512 3906896 7813792 9453293 15627584 18906586 37813172 66173051 75626344 132346102 151252688 264692204 302505376 529384408 605010752 1058768816 2117537632 4235075264