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5919472 = 2413149191
BaseRepresentation
bin10110100101001011110000
3102010201222201
4112211023300
53003410342
6330512544
7101212636
oct26451360
912121881
105919472
113383429
121b95754
1312c3460
14b01356
157bddb7
hex5a52f0

5919472 has 40 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 2699520.

The previous prime is 5919467. The next prime is 5919491. The reversal of 5919472 is 2749195.

5919472 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 30897 + ... + 31087.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 25919472 is an apocalyptic number.

5919472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5919472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

5919472 is an abundant number, since it is smaller than the sum of its proper divisors (6579728).

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

5919472 is a wasteful number, since it uses less digits than its factorization.

5919472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 5919472 is about 2432.9965063682. The cubic root of 5919472 is about 180.8954556374.

The spelling of 5919472 in words is "five million, nine hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 149 191 208 298 382 596 764 1192 1528 1937 2384 2483 3056 3874 4966 7748 9932 15496 19864 28459 30992 39728 56918 113836 227672 369967 455344 739934 1479868 2959736 5919472