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488050000 = 245543227
BaseRepresentation
bin11101000101110…
…000110101010000
31021000100111201221
4131011300311100
51444420100000
6120232334424
715044233204
oct3505606520
91230314657
10488050000
11230545209
12117544414
137a15caa9
1448b64b04
152cca761a
hex1d170d50

488050000 has 120 divisors (see below), whose sum is σ = 1214734752. Its totient is φ = 189840000.

The previous prime is 488049983. The next prime is 488050001. The reversal of 488050000 is 50884.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488050001) 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 23 ways as a sum of consecutive naturals, for example, 2149887 + ... + 2150113.

Almost surely, 2488050000 is an apocalyptic number.

488050000 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 488050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607367376).

488050000 is an abundant number, since it is smaller than the sum of its proper divisors (726684752).

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

488050000 is an equidigital number, since it uses as much as digits as its factorization.

488050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 488050000 is about 22091.8537022134. The cubic root of 488050000 is about 787.3263243441.

The spelling of 488050000 in words is "four hundred eighty-eight million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 227 250 344 400 430 454 500 625 688 860 908 1000 1075 1135 1250 1720 1816 2000 2150 2270 2500 3125 3440 3632 4300 4540 5000 5375 5675 6250 8600 9080 9761 10000 10750 11350 12500 17200 18160 19522 21500 22700 25000 26875 28375 39044 43000 45400 48805 50000 53750 56750 78088 86000 90800 97610 107500 113500 134375 141875 156176 195220 215000 227000 244025 268750 283750 390440 430000 454000 488050 537500 567500 709375 780880 976100 1075000 1135000 1220125 1418750 1952200 2150000 2270000 2440250 2837500 3904400 4880500 5675000 6100625 9761000 11350000 12201250 19522000 24402500 30503125 48805000 61006250 97610000 122012500 244025000 488050000