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4168428 = 22311231373
BaseRepresentation
bin1111111001101011101100
321211210000020
433321223230
52031342203
6225202140
750300565
oct17715354
97753006
104168428
112397890
121490350
13b2c434
147a716c
15575153
hex3f9aec

4168428 has 48 divisors (see below), whose sum is σ = 11079936. Its totient is φ = 1207360.

The previous prime is 4168421. The next prime is 4168433. The reversal of 4168428 is 8248614.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4168421) 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, 2350 + ... + 3722.

It is an arithmetic number, because the mean of its divisors is an integer number (230832).

Almost surely, 24168428 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 4168428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539968).

4168428 is an abundant number, since it is smaller than the sum of its proper divisors (6911508).

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

4168428 is a wasteful number, since it uses less digits than its factorization.

4168428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1412 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4168428 is about 2041.6728435281. The cubic root of 4168428 is about 160.9375682219.

The spelling of 4168428 in words is "four million, one hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1373 1518 2746 3036 4119 5492 8238 15103 16476 30206 31579 45309 60412 63158 90618 94737 126316 181236 189474 347369 378948 694738 1042107 1389476 2084214 4168428