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4328192 = 28112953
BaseRepresentation
bin10000100000101100000000
322010220011102
4100200230000
52102000232
6232433532
751534431
oct20405400
98126142
104328192
112496920
1215488a8
13b8707b
14809488
155a7662
hex420b00

4328192 has 72 divisors (see below), whose sum is σ = 9933840. Its totient is φ = 1863680.

The previous prime is 4328179. The next prime is 4328213. The reversal of 4328192 is 2918234.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81638 + ... + 81690.

It is an arithmetic number, because the mean of its divisors is an integer number (137970).

Almost surely, 24328192 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 4328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966920).

4328192 is an abundant number, since it is smaller than the sum of its proper divisors (5605648).

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

4328192 is a wasteful number, since it uses less digits than its factorization.

4328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 4328192 is about 2080.4307246337. The cubic root of 4328192 is about 162.9679387931.

The spelling of 4328192 in words is "four million, three hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 53 58 64 88 106 116 128 176 212 232 256 319 352 424 464 583 638 704 848 928 1166 1276 1408 1537 1696 1856 2332 2552 2816 3074 3392 3712 4664 5104 6148 6784 7424 9328 10208 12296 13568 16907 18656 20416 24592 33814 37312 40832 49184 67628 74624 81664 98368 135256 149248 196736 270512 393472 541024 1082048 2164096 4328192