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4104828 = 22327213179
BaseRepresentation
bin1111101010001001111100
321201112202200
433222021330
52022323303
6223551500
746614300
oct17521174
97645680
104104828
112354022
12145b590
13b094c0
1478bd00
155613a3
hex3ea27c

4104828 has 108 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 1076544.

The previous prime is 4104827. The next prime is 4104851. The reversal of 4104828 is 8284014.

It is a super-2 number, since 2×41048282 = 33699225819168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22843 + ... + 23021.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 24104828 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 4104828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

4104828 is an abundant number, since it is smaller than the sum of its proper divisors (8966412).

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

4104828 is a wasteful number, since it uses less digits than its factorization.

4104828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4104828 is about 2026.0375119923. The cubic root of 4104828 is about 160.1148654340.

The spelling of 4104828 in words is "four million, one hundred four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 179 182 196 234 252 273 294 358 364 441 468 537 546 588 637 716 819 882 1074 1092 1253 1274 1611 1638 1764 1911 2148 2327 2506 2548 3222 3276 3759 3822 4654 5012 5733 6444 6981 7518 7644 8771 9308 11277 11466 13962 15036 16289 17542 20943 22554 22932 26313 27924 32578 35084 41886 45108 48867 52626 65156 78939 83772 97734 105252 114023 146601 157878 195468 228046 293202 315756 342069 456092 586404 684138 1026207 1368276 2052414 4104828