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1449695904 = 25331736673
BaseRepresentation
bin101011001101000…
…1001101010100000
310202000212011220220
41112122021222200
510432110232104
6355504003040
750632132446
oct12632115240
93660764826
101449695904
11684351a98
12345600480
131a145b637
14da76ab96
158740e7d9
hex56689aa0

1449695904 has 96 divisors (see below), whose sum is σ = 3982616064. Its totient is φ = 461168640.

The previous prime is 1449695887. The next prime is 1449695939. The reversal of 1449695904 is 4095969441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 213912 + ... + 220584.

It is an arithmetic number, because the mean of its divisors is an integer number (41485584).

Almost surely, 21449695904 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 1449695904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991308032).

1449695904 is an abundant number, since it is smaller than the sum of its proper divisors (2532920160).

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

1449695904 is a wasteful number, since it uses less digits than its factorization.

1449695904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 1449695904 is about 38074.8723438438. The cubic root of 1449695904 is about 1131.7720659663.

The spelling of 1449695904 in words is "one billion, four hundred forty-nine million, six hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 73 93 96 124 146 186 219 248 292 372 438 496 584 744 876 992 1168 1488 1752 2263 2336 2976 3504 4526 6673 6789 7008 9052 13346 13578 18104 20019 26692 27156 36208 40038 53384 54312 72416 80076 106768 108624 160152 206863 213536 217248 320304 413726 487129 620589 640608 827452 974258 1241178 1461387 1654904 1948516 2482356 2922774 3309808 3897032 4964712 5845548 6619616 7794064 9929424 11691096 15100999 15588128 19858848 23382192 30201998 45302997 46764384 60403996 90605994 120807992 181211988 241615984 362423976 483231968 724847952 1449695904