Search a number
-
+
4055235264 = 26327396443
BaseRepresentation
bin1111000110110101…
…1111101011000000
3101110121122021222200
43301231133223000
531301120012024
61510221433200
7202330634223
oct36155375300
911417567880
104055235264
1117a1090303
1295210b800
134c81c09c2
142a68115ba
1518b0362c9
hexf1b5fac0

4055235264 has 84 divisors (see below), whose sum is σ = 11782949256. Its totient is φ = 1333214208.

The previous prime is 4055235251. The next prime is 4055235277. The reversal of 4055235264 is 4625325504.

4055235264 is a `hidden beast` number, since 40 + 552 + 3 + 5 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4055235251) and next prime (4055235277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6174 + ... + 90269.

Almost surely, 24055235264 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 4055235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891474628).

4055235264 is an abundant number, since it is smaller than the sum of its proper divisors (7727713992).

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

4055235264 is a wasteful number, since it uses less digits than its factorization.

4055235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96534 (or 96521 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 4055235264 is about 63680.7291415543. The cubic root of 4055235264 is about 1594.6743849745.

The spelling of 4055235264 in words is "four billion, fifty-five million, two hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 10512 14016 21024 42048 96443 192886 289329 385772 578658 771544 867987 1157316 1543088 1735974 2314632 3086176 3471948 4629264 6172352 6943896 7040339 9258528 13887792 14080678 18517056 21121017 27775584 28161356 42242034 55551168 56322712 63363051 84484068 112645424 126726102 168968136 225290848 253452204 337936272 450581696 506904408 675872544 1013808816 1351745088 2027617632 4055235264