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488744960 = 2115114339
BaseRepresentation
bin11101001000011…
…010100000000000
31021001122211001012
4131020122200000
52000104314320
6120255300052
715053156264
oct3510324000
91231584035
10488744960
1123097a360
1211781a628
137a344202
1448ca60a4
152cd934c5
hex1d21a800

488744960 has 96 divisors (see below), whose sum is σ = 1279605600. Its totient is φ = 177684480.

The previous prime is 488744957. The next prime is 488744981. The reversal of 488744960 is 69447884.

It is a junction number, because it is equal to n+sod(n) for n = 488744899 and 488744908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110471 + ... + 114809.

It is an arithmetic number, because the mean of its divisors is an integer number (13329225).

Almost surely, 2488744960 is an apocalyptic number.

488744960 is a gapful number since it is divisible by the number (40) 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 488744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639802800).

488744960 is an abundant number, since it is smaller than the sum of its proper divisors (790860640).

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

488744960 is a wasteful number, since it uses less digits than its factorization.

488744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 488744960 is about 22107.5769816595. The cubic root of 488744960 is about 787.6998521914.

The spelling of 488744960 in words is "four hundred eighty-eight million, seven hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4339 5120 5632 7040 8678 10240 11264 14080 17356 21695 22528 28160 34712 43390 47729 56320 69424 86780 95458 112640 138848 173560 190916 238645 277696 347120 381832 477290 555392 694240 763664 954580 1110784 1388480 1527328 1909160 2221568 2776960 3054656 3818320 4443136 5553920 6109312 7636640 8886272 11107840 12218624 15273280 22215680 24437248 30546560 44431360 48874496 61093120 97748992 122186240 244372480 488744960