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4870404 = 22327211251
BaseRepresentation
bin10010100101000100000100
3100011102221100
4102211010010
52221323104
6252220100
756253300
oct22450404
910142840
104870404
112827230
12176a630
131016ac6
1490ad00
15663139
hex4a5104

4870404 has 108 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1260000.

The previous prime is 4870373. The next prime is 4870409. The reversal of 4870404 is 4040784.

4870404 = T265 + T266 + ... + T362.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4870409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19279 + ... + 19529.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 24870404 is an apocalyptic number.

4870404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4870404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4870404 is an abundant number, since it is smaller than the sum of its proper divisors (10815084).

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

4870404 is a wasteful number, since it uses less digits than its factorization.

4870404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4870404 is about 2206.8991821105. The cubic root of 4870404 is about 169.5072698999.

The spelling of 4870404 in words is "four million, eight hundred seventy thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 251 252 294 308 396 441 462 502 539 588 693 753 882 924 1004 1078 1386 1506 1617 1757 1764 2156 2259 2761 2772 3012 3234 3514 4518 4851 5271 5522 6468 7028 8283 9036 9702 10542 11044 12299 15813 16566 19327 19404 21084 24598 24849 31626 33132 36897 38654 49196 49698 57981 63252 73794 77308 99396 110691 115962 135289 147588 173943 221382 231924 270578 347886 405867 442764 541156 695772 811734 1217601 1623468 2435202 4870404