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5819968 = 267111181
BaseRepresentation
bin10110001100111001000000
3101221200111101
4112030321000
52442214333
6324424144
7100316560
oct26147100
911850441
105819968
1133156a0
121b48054
13128a08b
14ab6da0
1579e67d
hex58ce40

5819968 has 56 divisors (see below), whose sum is σ = 14410944. Its totient is φ = 2265600.

The previous prime is 5819959. The next prime is 5819969. The reversal of 5819968 is 8699185.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5819969) 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, 4338 + ... + 5518.

Almost surely, 25819968 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 5819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205472).

5819968 is an abundant number, since it is smaller than the sum of its proper divisors (8590976).

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

5819968 is a wasteful number, since it uses less digits than its factorization.

5819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1201 counting only the distinct ones).

The product of its digits is 155520, while the sum is 46.

The square root of 5819968 is about 2412.4609841405. The cubic root of 5819968 is about 179.8761287664.

The spelling of 5819968 in words is "five million, eight hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1181 1232 2362 2464 4724 4928 8267 9448 12991 16534 18896 25982 33068 37792 51964 66136 75584 90937 103928 132272 181874 207856 264544 363748 415712 529088 727496 831424 1454992 2909984 5819968