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488424 = 23347433
BaseRepresentation
bin1110111001111101000
3220210222210
41313033220
5111112144
614245120
74102656
oct1671750
9823883
10488424
11303a62
121b67a0
13141411
14c9dd6
1599ab9
hex773e8

488424 has 32 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 158976.

The previous prime is 488419. The next prime is 488441. The reversal of 488424 is 424884.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 488391 and 488400.

It is an unprimeable number.

488424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2488424 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 488424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

488424 is an abundant number, since it is smaller than the sum of its proper divisors (761496).

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

488424 is a wasteful number, since it uses less digits than its factorization.

488424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 488424 is about 698.8733790895. The cubic root of 488424 is about 78.7527386299.

The spelling of 488424 in words is "four hundred eighty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 433 564 866 1128 1299 1732 2598 3464 5196 10392 20351 40702 61053 81404 122106 162808 244212 488424