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5975368448 = 28722914561
BaseRepresentation
bin1011001000010100…
…01110001100000000
3120102102201011112112
411210022032030000
544214143242243
62424532514452
7301034536160
oct54412161400
916372634475
105975368448
112596a37835
1211a917ba28
13742c5349a
1440983a5a0
1524e8be818
hex16428e300

5975368448 has 72 divisors (see below), whose sum is σ = 13691774880. Its totient is φ = 2549514240.

The previous prime is 5975368439. The next prime is 5975368459. The reversal of 5975368448 is 8448635795.

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, 403088 + ... + 417648.

It is an arithmetic number, because the mean of its divisors is an integer number (190163540).

Almost surely, 25975368448 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 5975368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845887440).

5975368448 is an abundant number, since it is smaller than the sum of its proper divisors (7716406432).

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

5975368448 is a wasteful number, since it uses less digits than its factorization.

5975368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14813 (or 14799 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 59.

The square root of 5975368448 is about 77300.5074239490. The cubic root of 5975368448 is about 1814.6305990070.

The spelling of 5975368448 in words is "five billion, nine hundred seventy-five million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 256 448 458 896 916 1603 1792 1832 3206 3664 6412 7328 12824 14561 14656 25648 29122 29312 51296 58244 58624 101927 102592 116488 203854 205184 232976 407708 410368 465952 815416 931904 1630832 1863808 3261664 3334469 3727616 6523328 6668938 13046656 13337876 23341283 26093312 26675752 46682566 53351504 93365132 106703008 186730264 213406016 373460528 426812032 746921056 853624064 1493842112 2987684224 5975368448