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480000048 = 24311909091
BaseRepresentation
bin11100100111000…
…011100000110000
31020110012112021120
4130213003200300
51440340000143
6115344022240
714615635023
oct3447034060
91213175246
10480000048
11226a47160
12114901980
13785a19c8
1447a6b1ba
152c217383
hex1c9c3830

480000048 has 40 divisors (see below), whose sum is σ = 1352728896. Its totient is φ = 145454400.

The previous prime is 480000019. The next prime is 480000077. The reversal of 480000048 is 840000084.

It is an interprime number because it is at equal distance from previous prime (480000019) and next prime (480000077).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 479999982 and 480000027.

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, 454018 + ... + 455073.

Almost surely, 2480000048 is an apocalyptic number.

480000048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480000048 is an abundant number, since it is smaller than the sum of its proper divisors (872728848).

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

480000048 is a wasteful number, since it uses less digits than its factorization.

480000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909113 (or 909107 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480000048 is about 21908.9033956517. The cubic root of 480000048 is about 782.9735543329.

480000048 divided by its sum of digits (24) gives a palindrome (20000002).

The spelling of 480000048 in words is "four hundred eighty million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 909091 1818182 2727273 3636364 5454546 7272728 10000001 10909092 14545456 20000002 21818184 30000003 40000004 43636368 60000006 80000008 120000012 160000016 240000024 480000048