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4104440352 = 253225156779
BaseRepresentation
bin1111010010100100…
…1100101000100000
3101121001020011200100
43310221030220200
531401214042402
61515140222400
7203466111255
oct36451145040
911531204610
104104440352
111816938871
1296669aa00
1350545b33c
142ad17d42c
1519050571c
hexf4a4ca20

4104440352 has 72 divisors (see below), whose sum is σ = 11718710640. Its totient is φ = 1362672000.

The previous prime is 4104440317. The next prime is 4104440357. The reversal of 4104440352 is 2530444014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4104440357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43899 + ... + 100677.

It is an arithmetic number, because the mean of its divisors is an integer number (162759870).

Almost surely, 24104440352 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 4104440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859355320).

4104440352 is an abundant number, since it is smaller than the sum of its proper divisors (7614270288).

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

4104440352 is a wasteful number, since it uses less digits than its factorization.

4104440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57046 (or 57035 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4104440352 is about 64065.9063152938. The cubic root of 4104440352 is about 1601.0982501483.

Adding to 4104440352 its reverse (2530444014), we get a palindrome (6634884366).

The spelling of 4104440352 in words is "four billion, one hundred four million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 18072 24096 36144 56779 72288 113558 170337 227116 340674 454232 511011 681348 908464 1022022 1362696 1816928 2044044 2725392 4088088 5450784 8176176 14251529 16352352 28503058 42754587 57006116 85509174 114012232 128263761 171018348 228024464 256527522 342036696 456048928 513055044 684073392 1026110088 1368146784 2052220176 4104440352