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16428264 = 2333171311
BaseRepresentation
bin111110101010…
…110011101000
31010220122100020
4332222303220
513201201024
61344040440
7256431546
oct76526350
933818306
1016428264
119300886
125603120
133532788
142278d96
151697979
hexfaace8

16428264 has 64 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 5208000.

The previous prime is 16428229. The next prime is 16428277. The reversal of 16428264 is 46282461.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52669 + ... + 52979.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 216428264 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 16428264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565440).

16428264 is an abundant number, since it is smaller than the sum of its proper divisors (26702616).

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

16428264 is a wasteful number, since it uses less digits than its factorization.

16428264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 16428264 is about 4053.1794926946. The cubic root of 16428264 is about 254.2126889459.

The spelling of 16428264 in words is "sixteen million, four hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 311 372 426 568 622 744 852 933 1244 1704 1866 2201 2488 3732 4402 6603 7464 8804 9641 13206 17608 19282 22081 26412 28923 38564 44162 52824 57846 66243 77128 88324 115692 132486 176648 231384 264972 529944 684511 1369022 2053533 2738044 4107066 5476088 8214132 16428264