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4364050048 = 27314325577
BaseRepresentation
bin1000001000001111…
…00001111010000000
3102021010201201020021
410010013201322000
532414144100143
62001012423224
7213100545661
oct40407417200
912233651207
104364050048
11193a435436
12a19617b14
13547186a47
142d583b368
151a81d6ced
hex1041e1e80

4364050048 has 64 divisors (see below), whose sum is σ = 9183525120. Its totient is φ = 2062448640.

The previous prime is 4364050037. The next prime is 4364050057. The reversal of 4364050048 is 8400504634.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4364049995 and 4364050022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157836 + ... + 183412.

It is an arithmetic number, because the mean of its divisors is an integer number (143492580).

Almost surely, 24364050048 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 4364050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591762560).

4364050048 is an abundant number, since it is smaller than the sum of its proper divisors (4819475072).

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

4364050048 is a wasteful number, since it uses less digits than its factorization.

4364050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25665 (or 25653 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4364050048 is about 66060.9570623981. The cubic root of 4364050048 is about 1634.1675191691.

The spelling of 4364050048 in words is "four billion, three hundred sixty-four million, fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 344 496 688 992 1333 1376 1984 2666 2752 3968 5332 5504 10664 21328 25577 42656 51154 85312 102308 170624 204616 409232 792887 818464 1099811 1585774 1636928 2199622 3171548 3273856 4399244 6343096 8798488 12686192 17596976 25372384 34094141 35193952 50744768 68188282 70387904 101489536 136376564 140775808 272753128 545506256 1091012512 2182025024 4364050048