Search a number
-
+
4465319904 = 253231094987
BaseRepresentation
bin1000010100010011…
…10101111111100000
3102112012021202100200
410022021311333200
533121110214104
62015031145200
7215440410243
oct41211657740
912465252320
104465319904
111991613a31
12a47515200
13562153536
1430507d25a
151b203cb39
hex10a275fe0

4465319904 has 72 divisors (see below), whose sum is σ = 12704884920. Its totient is φ = 1487662848.

The previous prime is 4465319897. The next prime is 4465319917. The reversal of 4465319904 is 4099135644.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4465319904.

It is a congruent number.

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, 892899 + ... + 897885.

It is an arithmetic number, because the mean of its divisors is an integer number (176456735).

Almost surely, 24465319904 is an apocalyptic number.

It is an amenable number.

4465319904 is an abundant number, since it is smaller than the sum of its proper divisors (8239565016).

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

4465319904 is a wasteful number, since it uses less digits than its factorization.

4465319904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8101 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4465319904 is about 66823.0491971146. The cubic root of 4465319904 is about 1646.7115286249.

The spelling of 4465319904 in words is "four billion, four hundred sixty-five million, three hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3109 4987 6218 9327 9974 12436 14961 18654 19948 24872 27981 29922 37308 39896 44883 49744 55962 59844 74616 79792 89766 99488 111924 119688 149232 159584 179532 223848 239376 298464 359064 447696 478752 718128 895392 1436256 15504583 31009166 46513749 62018332 93027498 124036664 139541247 186054996 248073328 279082494 372109992 496146656 558164988 744219984 1116329976 1488439968 2232659952 4465319904