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480630738 = 23712790107
BaseRepresentation
bin11100101001011…
…101011111010010
31020111101120102110
4130221131133102
51441020140423
6115405330150
714624202540
oct3451353722
91214346373
10480630738
11227337a95
12114b66956
1378762ab3
1447b92d90
152c2de193
hex1ca5d7d2

480630738 has 32 divisors (see below), whose sum is σ = 1107247104. Its totient is φ = 136240272.

The previous prime is 480630671. The next prime is 480630739. The reversal of 480630738 is 837036084.

It is a super-3 number, since 3×4806307383 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 480630696 and 480630705.

It is not an unprimeable number, because it can be changed into a prime (480630739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39720 + ... + 50387.

It is an arithmetic number, because the mean of its divisors is an integer number (34601472).

Almost surely, 2480630738 is an apocalyptic number.

480630738 is an abundant number, since it is smaller than the sum of its proper divisors (626616366).

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

480630738 is a wasteful number, since it uses less digits than its factorization.

480630738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90246.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 480630738 is about 21923.2921341663. The cubic root of 480630738 is about 783.3163303185.

The spelling of 480630738 in words is "four hundred eighty million, six hundred thirty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 127 254 381 762 889 1778 2667 5334 90107 180214 270321 540642 630749 1261498 1892247 3784494 11443589 22887178 34330767 68661534 80105123 160210246 240315369 480630738