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488198664 = 2335318101
BaseRepresentation
bin11101000110010…
…101001000001000
31021000122001200000
4131012111020020
51444434324124
6120235443000
715045422502
oct3506251010
91230561600
10488198664
11230636978
121175b6460
137a1b2665
1448ba2d72
152ccd66c9
hex1d195208

488198664 has 96 divisors (see below), whose sum is σ = 1415581440. Its totient is φ = 157464000.

The previous prime is 488198611. The next prime is 488198681. The reversal of 488198664 is 466891884.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 488198664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56214 + ... + 64314.

It is an arithmetic number, because the mean of its divisors is an integer number (14745640).

Almost surely, 2488198664 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 488198664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707790720).

488198664 is an abundant number, since it is smaller than the sum of its proper divisors (927382776).

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

488198664 is a wasteful number, since it uses less digits than its factorization.

488198664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153 (or 8137 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 488198664 is about 22095.2181251962. The cubic root of 488198664 is about 787.4062582294.

The spelling of 488198664 in words is "four hundred eighty-eight million, one hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 972 1116 1674 1944 2232 2511 3348 5022 6696 7533 8101 10044 15066 16202 20088 24303 30132 32404 48606 60264 64808 72909 97212 145818 194424 218727 251131 291636 437454 502262 583272 656181 753393 874908 1004524 1312362 1506786 1749816 1968543 2009048 2260179 2624724 3013572 3937086 4520358 5249448 6027144 6780537 7874172 9040716 13561074 15748344 18081432 20341611 27122148 40683222 54244296 61024833 81366444 122049666 162732888 244099332 488198664