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488000000 = 295661
BaseRepresentation
bin11101000101100…
…100101000000000
31021000020222011002
4131011210220000
51444412000000
6120231311132
715043634345
oct3505445000
91230228132
10488000000
11230510694
1211751b4a8
137a1430c7
1448b507cc
152cc978d5
hex1d164a00

488000000 has 140 divisors (see below), whose sum is σ = 1238773206. Its totient is φ = 192000000.

The previous prime is 487999979. The next prime is 488000017. The reversal of 488000000 is 884.

It can be written as a sum of positive squares in 7 ways, for example, as 395532544 + 92467456 = 19888^2 + 9616^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7999970 + ... + 8000030.

Almost surely, 2488000000 is an apocalyptic number.

488000000 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 488000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619386603).

488000000 is an abundant number, since it is smaller than the sum of its proper divisors (750773206).

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

488000000 is an frugal number, since it uses more digits than its factorization.

488000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 488000000 is about 22090.7220343745. The cubic root of 488000000 is about 787.2994366204.

Adding to 488000000 its reverse (884), we get a palindrome (488000884).

The spelling of 488000000 in words is "four hundred eighty-eight million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 256 305 320 400 488 500 512 610 625 640 800 976 1000 1220 1250 1280 1525 1600 1952 2000 2440 2500 2560 3050 3125 3200 3904 4000 4880 5000 6100 6250 6400 7625 7808 8000 9760 10000 12200 12500 12800 15250 15616 15625 16000 19520 20000 24400 25000 30500 31232 31250 32000 38125 39040 40000 48800 50000 61000 62500 64000 76250 78080 80000 97600 100000 122000 125000 152500 156160 160000 190625 195200 200000 244000 250000 305000 320000 381250 390400 400000 488000 500000 610000 762500 780800 800000 953125 976000 1000000 1220000 1525000 1600000 1906250 1952000 2000000 2440000 3050000 3812500 3904000 4000000 4880000 6100000 7625000 8000000 9760000 12200000 15250000 19520000 24400000 30500000 48800000 61000000 97600000 122000000 244000000 488000000