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14428296 = 23321953199
BaseRepresentation
bin110111000010…
…100010001000
31000011000220100
4313002202020
512143201141
61233125400
7233432001
oct67024210
930130810
1014428296
118165213
1249b9860
132cb236c
141cb81a8
1514000b6
hexdc2888

14428296 has 96 divisors (see below), whose sum is σ = 42120000. Its totient is φ = 4447872.

The previous prime is 14428279. The next prime is 14428301. The reversal of 14428296 is 69282441.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14428296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72405 + ... + 72603.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 214428296 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 14428296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060000).

14428296 is an abundant number, since it is smaller than the sum of its proper divisors (27691704).

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

14428296 is a wasteful number, since it uses less digits than its factorization.

14428296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14428296 is about 3798.4596878208. The cubic root of 14428296 is about 243.4473292523.

The spelling of 14428296 in words is "fourteen million, four hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 53 57 72 76 106 114 152 159 171 199 212 228 318 342 398 424 456 477 597 636 684 796 954 1007 1194 1272 1368 1592 1791 1908 2014 2388 3021 3582 3781 3816 4028 4776 6042 7164 7562 8056 9063 10547 11343 12084 14328 15124 18126 21094 22686 24168 30248 31641 34029 36252 42188 45372 63282 68058 72504 84376 90744 94923 126564 136116 189846 200393 253128 272232 379692 400786 601179 759384 801572 1202358 1603144 1803537 2404716 3607074 4809432 7214148 14428296