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16288428 = 22313193541
BaseRepresentation
bin111110001000…
…101010101100
31010122112112010
4332020222230
513132212203
61341041220
7255310062
oct76105254
933575463
1016288428
119215812
125556210
1334b3c30
142240032
15166b303
hexf88aac

16288428 has 48 divisors (see below), whose sum is σ = 41218016. Its totient is φ = 4976640.

The previous prime is 16288387. The next prime is 16288429. The reversal of 16288428 is 82488261.

16288428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162884282 = 530625773422368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16288429) 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, 29838 + ... + 30378.

Almost surely, 216288428 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 16288428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609008).

16288428 is an abundant number, since it is smaller than the sum of its proper divisors (24929588).

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

16288428 is a wasteful number, since it uses less digits than its factorization.

16288428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 16288428 is about 4035.8924663573. The cubic root of 16288428 is about 253.4893537227.

The spelling of 16288428 in words is "sixteen million, two hundred eighty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 193 386 541 579 772 1082 1158 1623 2164 2316 2509 3246 5018 6492 7033 7527 10036 14066 15054 21099 28132 30108 42198 84396 104413 208826 313239 417652 626478 1252956 1357369 2714738 4072107 5429476 8144214 16288428