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488680000 = 265419643
BaseRepresentation
bin11101001000001…
…010101001000000
31021001112111221021
4131020022221000
52000100230000
6120254035224
715052466014
oct3510125100
91231474837
10488680000
11230935576
121177a8b14
137a320783
1448c8a544
152cd7e11a
hex1d20aa40

488680000 has 140 divisors (see below), whose sum is σ = 1277528560. Its totient is φ = 184896000.

The previous prime is 488679991. The next prime is 488680039. The reversal of 488680000 is 86884.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759679 + ... + 760321.

It is an arithmetic number, because the mean of its divisors is an integer number (9125204).

Almost surely, 2488680000 is an apocalyptic number.

488680000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638764280).

488680000 is an abundant number, since it is smaller than the sum of its proper divisors (788848560).

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

488680000 is an equidigital number, since it uses as much as digits as its factorization.

488680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 488680000 is about 22106.1077532885. The cubic root of 488680000 is about 787.6649524285.

The spelling of 488680000 in words is "four hundred eighty-eight million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 643 760 800 950 1000 1216 1250 1286 1520 1600 1900 2000 2375 2500 2572 3040 3215 3800 4000 4750 5000 5144 6080 6430 7600 8000 9500 10000 10288 11875 12217 12860 15200 16075 19000 20000 20576 23750 24434 25720 30400 32150 38000 40000 41152 47500 48868 51440 61085 64300 76000 80375 95000 97736 102880 122170 128600 152000 160750 190000 195472 205760 244340 257200 305425 321500 380000 390944 401875 488680 514400 610850 643000 760000 781888 803750 977360 1028800 1221700 1286000 1527125 1607500 1954720 2443400 2572000 3054250 3215000 3909440 4886800 5144000 6108500 6430000 7635625 9773600 12217000 12860000 15271250 19547200 24434000 25720000 30542500 48868000 61085000 97736000 122170000 244340000 488680000