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4198656 = 28371171
BaseRepresentation
bin10000000001000100000000
321220022110210
4100001010000
52033324111
6225554120
750454660
oct20010400
97808423
104198656
112408570
1214a5940
13b40117
147b41a0
1557e0a6
hex401100

4198656 has 144 divisors (see below), whose sum is σ = 14128128. Its totient is φ = 1075200.

The previous prime is 4198637. The next prime is 4198669. The reversal of 4198656 is 6568914.

Its product of digits (51840) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59101 + ... + 59171.

It is an arithmetic number, because the mean of its divisors is an integer number (98112).

Almost surely, 24198656 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 4198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064064).

4198656 is an abundant number, since it is smaller than the sum of its proper divisors (9929472).

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

4198656 is a wasteful number, since it uses less digits than its factorization.

4198656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 4198656 is about 2049.0622245310. The cubic root of 4198656 is about 161.3256528608.

The spelling of 4198656 in words is "four million, one hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 71 77 84 88 96 112 128 132 142 154 168 176 192 213 224 231 256 264 284 308 336 352 384 426 448 462 497 528 568 616 672 704 768 781 852 896 924 994 1056 1136 1232 1344 1408 1491 1562 1704 1792 1848 1988 2112 2272 2343 2464 2688 2816 2982 3124 3408 3696 3976 4224 4544 4686 4928 5376 5467 5964 6248 6816 7392 7952 8448 9088 9372 9856 10934 11928 12496 13632 14784 15904 16401 18176 18744 19712 21868 23856 24992 27264 29568 31808 32802 37488 43736 47712 49984 54528 59136 63616 65604 74976 87472 95424 99968 127232 131208 149952 174944 190848 199936 262416 299904 349888 381696 524832 599808 699776 1049664 1399552 2099328 4198656