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5716416 = 263191567
BaseRepresentation
bin10101110011100111000000
3101202102110010
4111303213000
52430411131
6322304520
766405636
oct25634700
911672403
105716416
113254912
121ab8140
131251bc4
14a8b356
1577db46
hex5739c0

5716416 has 56 divisors (see below), whose sum is σ = 15930880. Its totient is φ = 1804032.

The previous prime is 5716409. The next prime is 5716429. The reversal of 5716416 is 6146175.

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, 2865 + ... + 4431.

It is an arithmetic number, because the mean of its divisors is an integer number (284480).

Almost surely, 25716416 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 5716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965440).

5716416 is an abundant number, since it is smaller than the sum of its proper divisors (10214464).

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

5716416 is a wasteful number, since it uses less digits than its factorization.

5716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1591 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 5716416 is about 2390.9027583739. The cubic root of 5716416 is about 178.8029207416.

The spelling of 5716416 in words is "five million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1567 1824 3134 3648 4701 6268 9402 12536 18804 25072 29773 37608 50144 59546 75216 89319 100288 119092 150432 178638 238184 300864 357276 476368 714552 952736 1429104 1905472 2858208 5716416