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5305988928 = 26343363823
BaseRepresentation
bin1001111000100001…
…01111011101000000
3111200210011011110110
410330100233131000
541331313121203
62234301431320
7245326106322
oct47420573500
914623134413
105305988928
112283102019
121040b6b540
13667375626
14384993612
15210c49d03
hex13c42f740

5305988928 has 56 divisors (see below), whose sum is σ = 14071404928. Its totient is φ = 1764550656.

The previous prime is 5305988921. The next prime is 5305988929. The reversal of 5305988928 is 8298895035.

It is a super-3 number, since 3×53059889283 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305988921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51225 + ... + 115047.

It is an arithmetic number, because the mean of its divisors is an integer number (251275088).

Almost surely, 25305988928 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 5305988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035702464).

5305988928 is an abundant number, since it is smaller than the sum of its proper divisors (8765416000).

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

5305988928 is a wasteful number, since it uses less digits than its factorization.

5305988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64271 (or 64261 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The square root of 5305988928 is about 72842.2194060560. The cubic root of 5305988928 is about 1744.1698695464.

The spelling of 5305988928 in words is "five billion, three hundred five million, nine hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 433 866 1299 1732 2598 3464 5196 6928 10392 13856 20784 27712 41568 63823 83136 127646 191469 255292 382938 510584 765876 1021168 1531752 2042336 3063504 4084672 6127008 12254016 27635359 55270718 82906077 110541436 165812154 221082872 331624308 442165744 663248616 884331488 1326497232 1768662976 2652994464 5305988928