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479497480 = 2357111511031
BaseRepresentation
bin11100100101001…
…000110100001000
31020102020222212221
4130211020310020
51440222404410
6115325143424
714611442560
oct3445106410
91212228787
10479497480
11226733610
121146bab74
1378457027
1447979da0
152c1684da
hex1c948d08

479497480 has 128 divisors (see below), whose sum is σ = 1355304960. Its totient is φ = 148320000.

The previous prime is 479497477. The next prime is 479497483. The reversal of 479497480 is 84794974.

It is an interprime number because it is at equal distance from previous prime (479497477) and next prime (479497483).

It is not an unprimeable number, because it can be changed into a prime (479497483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 464565 + ... + 465595.

It is an arithmetic number, because the mean of its divisors is an integer number (10588320).

Almost surely, 2479497480 is an apocalyptic number.

479497480 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 479497480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677652480).

479497480 is an abundant number, since it is smaller than the sum of its proper divisors (875807480).

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

479497480 is a wasteful number, since it uses less digits than its factorization.

479497480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 479497480 is about 21897.4308995371. The cubic root of 479497480 is about 782.7001968144.

The spelling of 479497480 in words is "four hundred seventy-nine million, four hundred ninety-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 151 154 220 280 302 308 385 440 604 616 755 770 1031 1057 1208 1510 1540 1661 2062 2114 3020 3080 3322 4124 4228 5155 5285 6040 6644 7217 8248 8305 8456 10310 10570 11341 11627 13288 14434 16610 20620 21140 22682 23254 28868 33220 36085 41240 42280 45364 46508 56705 57736 58135 66440 72170 79387 90728 93016 113410 116270 144340 155681 158774 226820 232540 288680 311362 317548 396935 453640 465080 622724 635096 778405 793870 1089767 1245448 1556810 1587740 1712491 2179534 3113620 3175480 3424982 4359068 5448835 6227240 6849964 8562455 8718136 10897670 11987437 13699928 17124910 21795340 23974874 34249820 43590680 47949748 59937185 68499640 95899496 119874370 239748740 479497480