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486372480 = 27351123029
BaseRepresentation
bin11100111111010…
…111010010000000
31020220012021121120
4130333113102000
51444002404410
6120132352240
715024045366
oct3477272200
91226167546
10486372480
1122a5a9930
12116a75680
13799c3389
1448849636
152ca75570
hex1cfd7480

486372480 has 128 divisors (see below), whose sum is σ = 1691323200. Its totient is φ = 117903360.

The previous prime is 486372473. The next prime is 486372487. The reversal of 486372480 is 84273684.

It is an interprime number because it is at equal distance from previous prime (486372473) and next prime (486372487).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (486372487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9606 + ... + 32634.

Almost surely, 2486372480 is an apocalyptic number.

486372480 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 486372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845661600).

486372480 is an abundant number, since it is smaller than the sum of its proper divisors (1204950720).

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

486372480 is a wasteful number, since it uses less digits than its factorization.

486372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23062 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 486372480 is about 22053.8540849440. The cubic root of 486372480 is about 786.4232257677.

The spelling of 486372480 in words is "four hundred eighty-six million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 23029 46058 69087 92116 115145 138174 184232 230290 253319 276348 345435 368464 460580 506638 552696 690870 736928 759957 921160 1013276 1105392 1266595 1381740 1473856 1519914 1842320 2026552 2210784 2533190 2763480 2947712 3039828 3684640 3799785 4053104 4421568 5066380 5526960 6079656 7369280 7599570 8106208 8843136 10132760 11053920 12159312 14738560 15199140 16212416 20265520 22107840 24318624 30398280 32424832 40531040 44215680 48637248 60796560 81062080 97274496 121593120 162124160 243186240 486372480