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4958096 = 2411213197
BaseRepresentation
bin10010111010011110010000
3100022220020012
4102322132100
52232124341
6254134052
760100043
oct22723620
910286205
104958096
112887100
1217b1328
1310479b0
14930c5a
1567e0eb
hex4ba790

4958096 has 60 divisors (see below), whose sum is σ = 11428956. Its totient is φ = 2069760.

The previous prime is 4958021. The next prime is 4958131. The reversal of 4958096 is 6908594.

It can be written as a sum of positive squares in 2 ways, for example, as 3097600 + 1860496 = 1760^2 + 1364^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25070 + ... + 25266.

Almost surely, 24958096 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 4958096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714478).

4958096 is an abundant number, since it is smaller than the sum of its proper divisors (6470860).

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

4958096 is a wasteful number, since it uses less digits than its factorization.

4958096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 4958096 is about 2226.6782434829. The cubic root of 4958096 is about 170.5185550393.

The spelling of 4958096 in words is "four million, nine hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 197 208 242 286 394 484 572 788 968 1144 1573 1576 1936 2167 2288 2561 3146 3152 4334 5122 6292 8668 10244 12584 17336 20488 23837 25168 28171 34672 40976 47674 56342 95348 112684 190696 225368 309881 381392 450736 619762 1239524 2479048 4958096