Search a number
-
+
488617056 = 25332919501
BaseRepresentation
bin11101000111111…
…011010001100000
31021001102022121000
4131013323101200
52000041221211
6120252432000
715052114344
oct3507732140
91231368530
10488617056
112308a2254
12117778600
137a2cac25
1448c71624
152cd6a656
hex1d1fb460

488617056 has 96 divisors (see below), whose sum is σ = 1474351200. Its totient is φ = 157248000.

The previous prime is 488617013. The next prime is 488617057. The reversal of 488617056 is 650716884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488617057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15306 + ... + 34806.

It is an arithmetic number, because the mean of its divisors is an integer number (15357825).

Almost surely, 2488617056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488617056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737175600).

488617056 is an abundant number, since it is smaller than the sum of its proper divisors (985734144).

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

488617056 is a wasteful number, since it uses less digits than its factorization.

488617056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19549 (or 19535 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 488617056 is about 22104.6840285040. The cubic root of 488617056 is about 787.6311328114.

The spelling of 488617056 in words is "four hundred eighty-eight million, six hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 19501 25056 39002 58503 78004 117006 156008 175509 234012 312016 351018 468024 526527 565529 624032 702036 936048 1053054 1131058 1404072 1696587 1872096 2106108 2262116 2808144 3393174 4212216 4524232 5089761 5616288 6786348 8424432 9048464 10179522 13572696 15269283 16848864 18096928 20359044 27145392 30538566 40718088 54290784 61077132 81436176 122154264 162872352 244308528 488617056