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488748288 = 2837229397
BaseRepresentation
bin11101001000011…
…011010100000000
31021001122222121110
4131020123110000
52000104421123
6120255323320
715053202060
oct3510332400
91231588543
10488748288
11230981906
12117820540
137a345892
1448ca73a0
152cd94493
hex1d21b500

488748288 has 144 divisors (see below), whose sum is σ = 1496862080. Its totient is φ = 138682368.

The previous prime is 488748259. The next prime is 488748301. The reversal of 488748288 is 882847884.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1230906 + ... + 1231302.

Almost surely, 2488748288 is an apocalyptic number.

488748288 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 488748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748431040).

488748288 is an abundant number, since it is smaller than the sum of its proper divisors (1008113792).

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

488748288 is a wasteful number, since it uses less digits than its factorization.

488748288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its digits is 7340032, while the sum is 57.

The square root of 488748288 is about 22107.6522498433. The cubic root of 488748288 is about 787.7016400762.

The spelling of 488748288 in words is "four hundred eighty-eight million, seven hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 229 256 336 384 397 448 458 672 687 768 794 896 916 1191 1344 1374 1588 1603 1792 1832 2382 2688 2748 2779 3176 3206 3664 4764 4809 5376 5496 5558 6352 6412 7328 8337 9528 9618 10992 11116 12704 12824 14656 16674 19056 19236 21984 22232 25408 25648 29312 33348 38112 38472 43968 44464 50816 51296 58624 66696 76224 76944 87936 88928 90913 101632 102592 133392 152448 153888 175872 177856 181826 205184 266784 272739 304896 307776 355712 363652 410368 533568 545478 615552 636391 711424 727304 1067136 1090956 1231104 1272782 1454608 1909173 2134272 2181912 2545564 2909216 3818346 4363824 5091128 5818432 7636692 8727648 10182256 11636864 15273384 17455296 20364512 23273728 30546768 34910592 40729024 61093536 69821184 81458048 122187072 162916096 244374144 488748288