Search a number
-
+
488422208 = 2619439341
BaseRepresentation
bin11101000111001…
…011101101000000
31021001001102022102
4131013023231000
52000014002313
6120244325532
715050343311
oct3507135500
91231042272
10488422208
1123077991a
121176a38a8
137a260331
1448c20608
152cd2ca58
hex1d1cbb40

488422208 has 56 divisors (see below), whose sum is σ = 1044061920. Its totient is φ = 225953280.

The previous prime is 488422201. The next prime is 488422211. The reversal of 488422208 is 802224884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488422201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47618 + ... + 56958.

Almost surely, 2488422208 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 488422208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522030960).

488422208 is an abundant number, since it is smaller than the sum of its proper divisors (555639712).

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

488422208 is a wasteful number, since it uses less digits than its factorization.

488422208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9415 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 488422208 is about 22100.2761973691. The cubic root of 488422208 is about 787.5264231665.

The spelling of 488422208 in words is "four hundred eighty-eight million, four hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 152 172 304 344 608 688 817 1216 1376 1634 2752 3268 6536 9341 13072 18682 26144 37364 52288 74728 149456 177479 298912 354958 401663 597824 709916 803326 1419832 1606652 2839664 3213304 5679328 6426608 7631597 11358656 12853216 15263194 25706432 30526388 61052776 122105552 244211104 488422208