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4980040 = 2351361157
BaseRepresentation
bin10010111111110101001000
3100101000022221
4102333311020
52233330130
6254423424
760221032
oct22776510
910330287
104980040
1128a163a
121801b74
131054990
14938c52
1568587a
hex4bfd48

4980040 has 64 divisors (see below), whose sum is σ = 12342960. Its totient is φ = 1797120.

The previous prime is 4979999. The next prime is 4980047. The reversal of 4980040 is 400894.

It can be written as a sum of positive squares in 8 ways, for example, as 60516 + 4919524 = 246^2 + 2218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4979987 and 4980014.

It is not an unprimeable number, because it can be changed into a prime (4980047) 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 15 ways as a sum of consecutive naturals, for example, 31642 + ... + 31798.

Almost surely, 24980040 is an apocalyptic number.

4980040 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 4980040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171480).

4980040 is an abundant number, since it is smaller than the sum of its proper divisors (7362920).

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

4980040 is a wasteful number, since it uses less digits than its factorization.

4980040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4980040 is about 2231.6003226384. The cubic root of 4980040 is about 170.7697504141.

It can be divided in two parts, 49 and 80040, that added together give a square (80089 = 2832).

The spelling of 4980040 in words is "four million, nine hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 157 244 260 305 314 488 520 610 628 785 793 1220 1256 1570 1586 2041 2440 3140 3172 3965 4082 6280 6344 7930 8164 9577 10205 15860 16328 19154 20410 31720 38308 40820 47885 76616 81640 95770 124501 191540 249002 383080 498004 622505 996008 1245010 2490020 4980040