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216482728 = 23711457769
BaseRepresentation
bin11001110011101…
…00001110101000
3120002100110110211
430321310032220
5420404421403
633251550504
75236033660
oct1471641650
9502313424
10216482728
11101220750
12605bb434
1335b087b7
1420a731a0
151401306d
hexce743a8

216482728 has 64 divisors (see below), whose sum is σ = 507830400. Its totient is φ = 84049920.

The previous prime is 216482723. The next prime is 216482729. The reversal of 216482728 is 827284612.

216482728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216482723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281128 + ... + 281896.

It is an arithmetic number, because the mean of its divisors is an integer number (7934850).

Almost surely, 2216482728 is an apocalyptic number.

216482728 is a gapful number since it is divisible by the number (28) 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 216482728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253915200).

216482728 is an abundant number, since it is smaller than the sum of its proper divisors (291347672).

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

216482728 is a wasteful number, since it uses less digits than its factorization.

216482728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1246 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 216482728 is about 14713.3520314033. The cubic root of 216482728 is about 600.4466378123.

The spelling of 216482728 in words is "two hundred sixteen million, four hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 457 616 769 914 1538 1828 3076 3199 3656 5027 5383 6152 6398 8459 10054 10766 12796 16918 20108 21532 25592 33836 35189 40216 43064 59213 67672 70378 118426 140756 236852 281512 351433 473704 702866 1405732 2460031 2811464 3865763 4920062 7731526 9840124 15463052 19680248 27060341 30926104 54120682 108241364 216482728