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5719968 = 253219861
BaseRepresentation
bin10101110100011110100000
3101202121022200
4111310132200
52431014333
6322333200
766422202
oct25643640
911677280
105719968
113257551
121aba200
1312536c7
14a8c772
1577ec13
hex5747a0

5719968 has 36 divisors (see below), whose sum is σ = 16266978. Its totient is φ = 1906560.

The previous prime is 5719963. The next prime is 5720017. The reversal of 5719968 is 8699175.

It can be written as a sum of positive squares in only one way, i.e., 5702544 + 17424 = 2388^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (5719963) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 9643 + ... + 10218.

Almost surely, 25719968 is an apocalyptic number.

It is an amenable number.

5719968 is an abundant number, since it is smaller than the sum of its proper divisors (10547010).

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

5719968 is a wasteful number, since it uses less digits than its factorization.

5719968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19877 (or 19866 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 5719968 is about 2391.6454586748. The cubic root of 5719968 is about 178.8399472325.

The spelling of 5719968 in words is "five million, seven hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19861 39722 59583 79444 119166 158888 178749 238332 317776 357498 476664 635552 714996 953328 1429992 1906656 2859984 5719968