Search a number
-
+
488164424 = 231129197971
BaseRepresentation
bin11101000110001…
…100110001001000
31021000120022200212
4131012030301020
51444432230144
6120235020252
715045220616
oct3506146110
91230508625
10488164424
11230613180
1211759a688
137a19cbb7
1448b946b6
152cccb49e
hex1d18cc48

488164424 has 64 divisors (see below), whose sum is σ = 1039262400. Its totient is φ = 212934400.

The previous prime is 488164403. The next prime is 488164429. The reversal of 488164424 is 424461884.

It is not an unprimeable number, because it can be changed into a prime (488164429) 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, 502259 + ... + 503229.

It is an arithmetic number, because the mean of its divisors is an integer number (16238475).

Almost surely, 2488164424 is an apocalyptic number.

488164424 is a gapful number since it is divisible by the number (44) 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 488164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519631200).

488164424 is an abundant number, since it is smaller than the sum of its proper divisors (551097976).

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

488164424 is a wasteful number, since it uses less digits than its factorization.

488164424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The square root of 488164424 is about 22094.4432833235. The cubic root of 488164424 is about 787.3878494527.

The spelling of 488164424 in words is "four hundred eighty-eight million, one hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 197 232 319 394 638 788 971 1276 1576 1942 2167 2552 3884 4334 5713 7768 8668 10681 11426 17336 21362 22852 28159 42724 45704 56318 62843 85448 112636 125686 191287 225272 251372 309749 382574 502744 619498 765148 1238996 1530296 2104157 2477992 4208314 5547323 8416628 11094646 16833256 22189292 44378584 61020553 122041106 244082212 488164424