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4055225504 = 251124774651
BaseRepresentation
bin1111000110110101…
…1101010010100000
3101110121121210121012
43301231131102200
531301114204004
61510221320052
7202330563611
oct36155352240
911417553535
104055225504
1117a1083a40
12952106028
134c81b9425
142a680bc08
1518b03346e
hexf1b5d4a0

4055225504 has 48 divisors (see below), whose sum is σ = 8714907936. Its totient is φ = 1842144000.

The previous prime is 4055225501. The next prime is 4055225513.

4055225504 is nontrivially palindromic in base 10.

4055225504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40552255043 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4055225501) 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, 869579 + ... + 874229.

It is an arithmetic number, because the mean of its divisors is an integer number (181560582).

Almost surely, 24055225504 is an apocalyptic number.

4055225504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4055225504 is an abundant number, since it is smaller than the sum of its proper divisors (4659682432).

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

4055225504 is a wasteful number, since it uses less digits than its factorization.

4055225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7149 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The square root of 4055225504 is about 63680.6525092198. The cubic root of 4055225504 is about 1594.6731056377.

The spelling of 4055225504 in words is "four billion, fifty-five million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 2477 4651 4954 9302 9908 18604 19816 27247 37208 39632 51161 54494 74416 79264 102322 108988 148832 204644 217976 409288 435952 818576 871904 1637152 11520527 23041054 46082108 92164216 126725797 184328432 253451594 368656864 506903188 1013806376 2027612752 4055225504