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5148576 = 253359101
BaseRepresentation
bin10011101000111110100000
3100200120112000
4103220332200
52304223301
6302204000
761522266
oct23507640
910616460
105148576
1129a7224
121883600
1310b35c4
14980436
156ba786
hex4e8fa0

5148576 has 96 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1670400.

The previous prime is 5148557. The next prime is 5148581. The reversal of 5148576 is 6758415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5148576.

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 15 ways as a sum of consecutive naturals, for example, 50926 + ... + 51026.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 25148576 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 5148576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5148576 is an abundant number, since it is smaller than the sum of its proper divisors (10273824).

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

5148576 is a wasteful number, since it uses less digits than its factorization.

5148576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5148576 is about 2269.0473772048. The cubic root of 5148576 is about 172.6748321960.

The spelling of 5148576 in words is "five million, one hundred forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 101 108 118 144 177 202 216 236 288 303 354 404 432 472 531 606 708 808 864 909 944 1062 1212 1416 1593 1616 1818 1888 2124 2424 2727 2832 3186 3232 3636 4248 4848 5454 5664 5959 6372 7272 8496 9696 10908 11918 12744 14544 16992 17877 21816 23836 25488 29088 35754 43632 47672 50976 53631 71508 87264 95344 107262 143016 160893 190688 214524 286032 321786 429048 572064 643572 858096 1287144 1716192 2574288 5148576