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4049280040 = 2351361127657
BaseRepresentation
bin1111000101011011…
…0001110000101000
3101110012102201221211
43301112301300220
531243103430130
61505450042504
7202226212111
oct36126616050
911405381854
104049280040
111798793033
12950119434
134c6bb71c0
142a5b01208
1518a75ba2a
hexf15b1c28

4049280040 has 64 divisors (see below), whose sum is σ = 9972642960. Its totient is φ = 1470597120.

The previous prime is 4049279989. The next prime is 4049280071. The reversal of 4049280040 is 400829404.

It can be written as a sum of positive squares in 8 ways, for example, as 81036004 + 3968244036 = 9002^2 + 62994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4049279984 and 4049280011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32109 + ... + 95548.

Almost surely, 24049280040 is an apocalyptic number.

4049280040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4049280040 is an abundant number, since it is smaller than the sum of its proper divisors (5923362920).

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

4049280040 is a wasteful number, since it uses less digits than its factorization.

4049280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127742 (or 127738 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4049280040 is about 63633.9535153993. The cubic root of 4049280040 is about 1593.8933948847.

It can be divided in two parts, 4049 and 280040, that added together give a square (284089 = 5332).

The spelling of 4049280040 in words is "four billion, forty-nine million, two hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 15860 31720 127657 255314 510628 638285 1021256 1276570 1659541 2553140 3319082 5106280 6638164 7787077 8297705 13276328 15574154 16595410 31148308 33190820 38935385 62296616 66381640 77870770 101232001 155741540 202464002 311483080 404928004 506160005 809856008 1012320010 2024640020 4049280040