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14428428 = 2237295923
BaseRepresentation
bin110111000010…
…100100001100
31000011001002020
4313002210030
512143202203
61233130140
7233432250
oct67024414
930131066
1014428428
118165323
1249b9950
132cb2441
141cb8260
151400153
hexdc290c

14428428 has 48 divisors (see below), whose sum is σ = 39809280. Its totient is φ = 3979584.

The previous prime is 14428417. The next prime is 14428451. The reversal of 14428428 is 82482441.

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, 526 + ... + 5397.

It is an arithmetic number, because the mean of its divisors is an integer number (829360).

Almost surely, 214428428 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 14428428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904640).

14428428 is an abundant number, since it is smaller than the sum of its proper divisors (25380852).

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

14428428 is a wasteful number, since it uses less digits than its factorization.

14428428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5964 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 14428428 is about 3798.4770632452. The cubic root of 14428428 is about 243.4480716581.

It can be divided in two parts, 1442 and 8428, that added together give a triangular number (9870 = T140).

The spelling of 14428428 in words is "fourteen million, four hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 5923 11846 17769 23692 35538 41461 71076 82922 124383 165844 171767 248766 343534 497532 515301 687068 1030602 1202369 2061204 2404738 3607107 4809476 7214214 14428428