Search a number
-
+
480948540 = 22358015809
BaseRepresentation
bin11100101010101…
…011000100111100
31020111222201100220
4130222223010330
51441110323130
6115420221340
714626665222
oct3452530474
91214881326
10480948540
11227534836
1211509a850
1378844647
1447c36b12
152c353410
hex1caab13c

480948540 has 24 divisors (see below), whose sum is σ = 1346656080. Its totient is φ = 128252928.

The previous prime is 480948493. The next prime is 480948551. The reversal of 480948540 is 45849084.

It is a super-3 number, since 3×4809485403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 480948492 and 480948501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4007845 + ... + 4007964.

It is an arithmetic number, because the mean of its divisors is an integer number (56110670).

Almost surely, 2480948540 is an apocalyptic number.

It is an amenable number.

480948540 is an abundant number, since it is smaller than the sum of its proper divisors (865707540).

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

480948540 is a wasteful number, since it uses less digits than its factorization.

480948540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015821 (or 8015819 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 480948540 is about 21930.5389810647. The cubic root of 480948540 is about 783.4889400645.

The spelling of 480948540 in words is "four hundred eighty million, nine hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 8015809 16031618 24047427 32063236 40079045 48094854 80158090 96189708 120237135 160316180 240474270 480948540