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488233680 = 2435111731069
BaseRepresentation
bin11101000110011…
…101101011010000
31021000200211200220
4131012131223100
51444441434210
6120240313040
715045626544
oct3506355320
91230624626
10488233680
11230660210
12117612780
137a1c558c
1448bb1a24
152cce1c70
hex1d19dad0

488233680 has 160 divisors (see below), whose sum is σ = 1662215040. Its totient is φ = 117565440.

The previous prime is 488233661. The next prime is 488233729. The reversal of 488233680 is 86332884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456186 + ... + 457254.

It is an arithmetic number, because the mean of its divisors is an integer number (10388844).

Almost surely, 2488233680 is an apocalyptic number.

488233680 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 488233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831107520).

488233680 is an abundant number, since it is smaller than the sum of its proper divisors (1173981360).

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

488233680 is a wasteful number, since it uses less digits than its factorization.

488233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 488233680 is about 22096.0104996354. The cubic root of 488233680 is about 787.4250833242.

The spelling of 488233680 in words is "four hundred eighty-eight million, two hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 173 176 220 240 264 330 346 440 519 528 660 692 865 880 1038 1069 1320 1384 1730 1903 2076 2138 2595 2640 2768 3207 3460 3806 4152 4276 5190 5345 5709 6414 6920 7612 8304 8552 9515 10380 10690 11418 11759 12828 13840 15224 16035 17104 19030 20760 21380 22836 23518 25656 28545 30448 32070 35277 38060 41520 42760 45672 47036 51312 57090 58795 64140 70554 76120 85520 91344 94072 114180 117590 128280 141108 152240 176385 184937 188144 228360 235180 256560 282216 352770 369874 456720 470360 554811 564432 705540 739748 924685 940720 1109622 1411080 1479496 1849370 2034307 2219244 2774055 2822160 2958992 3698740 4068614 4438488 5548110 6102921 7397480 8137228 8876976 10171535 11096220 12205842 14794960 16274456 20343070 22192440 24411684 30514605 32548912 40686140 44384880 48823368 61029210 81372280 97646736 122058420 162744560 244116840 488233680