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5719008 = 253411453
BaseRepresentation
bin10101110100001111100000
3101202120000010
4111310033200
52431002013
6322324520
766416331
oct25641740
911676003
105719008
113256859
121ab9740
131253139
14a8c288
1577e7c3
hex5743e0

5719008 has 48 divisors (see below), whose sum is σ = 15389136. Its totient is φ = 1858560.

The previous prime is 5719001. The next prime is 5719009. The reversal of 5719008 is 8009175.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5719001) 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 7 ways as a sum of consecutive naturals, for example, 3210 + ... + 4662.

It is an arithmetic number, because the mean of its divisors is an integer number (320607).

Almost surely, 25719008 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 5719008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694568).

5719008 is an abundant number, since it is smaller than the sum of its proper divisors (9670128).

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

5719008 is a wasteful number, since it uses less digits than its factorization.

5719008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 5719008 is about 2391.4447516094. Note that the first 3 decimals coincide. The cubic root of 5719008 is about 178.8299415847.

The spelling of 5719008 in words is "five million, seven hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1453 1968 2906 3936 4359 5812 8718 11624 17436 23248 34872 46496 59573 69744 119146 139488 178719 238292 357438 476584 714876 953168 1429752 1906336 2859504 5719008