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4881040 = 245173797
BaseRepresentation
bin10010100111101010010000
3100011222112021
4102213222100
52222143130
6252341224
756326303
oct22475220
910158467
104881040
11283421a
121774814
13101b8b8
14910b3a
1566637a
hex4a7a90

4881040 has 80 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1769472.

The previous prime is 4881029. The next prime is 4881049. The reversal of 4881040 is 401884.

It can be written as a sum of positive squares in 8 ways, for example, as 369664 + 4511376 = 608^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4880996 and 4881014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50272 + ... + 50368.

Almost surely, 24881040 is an apocalyptic number.

4881040 is a gapful number since it is divisible by the number (40) 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 4881040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

4881040 is an abundant number, since it is smaller than the sum of its proper divisors (7586912).

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

4881040 is a wasteful number, since it uses less digits than its factorization.

4881040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 4881040 is about 2209.3075838371. The cubic root of 4881040 is about 169.6305703171.

The spelling of 4881040 in words is "four million, eight hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 97 136 148 170 185 194 272 296 340 370 388 485 592 629 680 740 776 970 1258 1360 1480 1552 1649 1940 2516 2960 3145 3298 3589 3880 5032 6290 6596 7178 7760 8245 10064 12580 13192 14356 16490 17945 25160 26384 28712 32980 35890 50320 57424 61013 65960 71780 122026 131920 143560 244052 287120 305065 488104 610130 976208 1220260 2440520 4881040