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4286128 = 24731171
BaseRepresentation
bin10000010110011010110000
322001202110111
4100112122300
52044124003
6231511104
751301000
oct20263260
98052414
104286128
112468260
121528494
13b70b92
147d8000
15599e6d
hex4166b0

4286128 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1646400.

The previous prime is 4286089. The next prime is 4286131. The reversal of 4286128 is 8216824.

It is a self number, because there is not a number n which added to its sum of digits gives 4286128.

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, 60333 + ... + 60403.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 24286128 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 4286128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

4286128 is an abundant number, since it is smaller than the sum of its proper divisors (6427472).

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

4286128 is a wasteful number, since it uses less digits than its factorization.

4286128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 4286128 is about 2070.2965971087. The cubic root of 4286128 is about 162.4382787294.

It can be divided in two parts, 428 and 6128, that added together give a palindrome (6556).

The spelling of 4286128 in words is "four million, two hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 71 77 88 98 112 142 154 176 196 284 308 343 392 497 539 568 616 686 781 784 994 1078 1136 1232 1372 1562 1988 2156 2744 3124 3479 3773 3976 4312 5467 5488 6248 6958 7546 7952 8624 10934 12496 13916 15092 21868 24353 27832 30184 38269 43736 48706 55664 60368 76538 87472 97412 153076 194824 267883 306152 389648 535766 612304 1071532 2143064 4286128