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488506368 = 2103722717
BaseRepresentation
bin11101000111100…
…000010000000000
31021001012200202110
4131013200100000
52000024200433
6120250215320
715051143550
oct3507402000
91231180673
10488506368
11230827079
12117724540
137a28c72c
1448c43160
152cd47963
hex1d1e0400

488506368 has 88 divisors (see below), whose sum is σ = 1488119872. Its totient is φ = 139567104.

The previous prime is 488506367. The next prime is 488506379. The reversal of 488506368 is 863605884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (488506367) 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, 10146 + ... + 32862.

Almost surely, 2488506368 is an apocalyptic number.

488506368 is a gapful number since it is divisible by the number (48) 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 488506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744059936).

488506368 is an abundant number, since it is smaller than the sum of its proper divisors (999613504).

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

488506368 is a wasteful number, since it uses less digits than its factorization.

488506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747 (or 22729 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 488506368 is about 22102.1801639567. The cubic root of 488506368 is about 787.5716534449.

The spelling of 488506368 in words is "four hundred eighty-eight million, five hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 22717 45434 68151 90868 136302 159019 181736 272604 318038 363472 477057 545208 636076 726944 954114 1090416 1272152 1453888 1908228 2180832 2544304 2907776 3816456 4361664 5088608 5815552 7632912 8723328 10177216 11631104 15265824 17446656 20354432 23262208 30531648 34893312 40708864 61063296 69786624 81417728 122126592 162835456 244253184 488506368