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480269808 = 243223145009
BaseRepresentation
bin11100101000000…
…101010111110000
31020110201020022200
4130220011113300
51440422113213
6115353503200
714621140344
oct3450052760
91213636280
10480269808
112271108a7
12114a11b00
1378667725
1447adb624
152c26c273
hex1ca055f0

480269808 has 60 divisors (see below), whose sum is σ = 1402536720. Its totient is φ = 153128448.

The previous prime is 480269807. The next prime is 480269819. The reversal of 480269808 is 808962084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480269807) 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 11 ways as a sum of consecutive naturals, for example, 69193 + ... + 75816.

It is an arithmetic number, because the mean of its divisors is an integer number (23375612).

Almost surely, 2480269808 is an apocalyptic number.

480269808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480269808 is an abundant number, since it is smaller than the sum of its proper divisors (922266912).

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

480269808 is a wasteful number, since it uses less digits than its factorization.

480269808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145046 (or 145037 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 480269808 is about 21915.0589321590. The cubic root of 480269808 is about 783.1202038951.

The spelling of 480269808 in words is "four hundred eighty million, two hundred sixty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 145009 290018 435027 580036 870054 1160072 1305081 1740108 2320144 2610162 3335207 3480216 5220324 6670414 6960432 10005621 10440648 13340828 20011242 20881296 26681656 30016863 40022484 53363312 60033726 80044968 120067452 160089936 240134904 480269808