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484775520 = 25353132579
BaseRepresentation
bin11100111001010…
…001011001100000
31020210012010222220
4130321101121200
51443100304040
6120034231040
715004344465
oct3471213140
91223163886
10484775520
11229709029
12116425480
1379584528
144855166c
152c85c2d0
hex1ce51660

484775520 has 96 divisors (see below), whose sum is σ = 1576350720. Its totient is φ = 125099520.

The previous prime is 484775483. The next prime is 484775549. The reversal of 484775520 is 25577484.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 31169.

It is an arithmetic number, because the mean of its divisors is an integer number (16420320).

Almost surely, 2484775520 is an apocalyptic number.

484775520 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 484775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788175360).

484775520 is an abundant number, since it is smaller than the sum of its proper divisors (1091575200).

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

484775520 is a wasteful number, since it uses less digits than its factorization.

484775520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32628 (or 32620 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 484775520 is about 22017.6183998179. The cubic root of 484775520 is about 785.5615655320.

The spelling of 484775520 in words is "four hundred eighty-four million, seven hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 32579 65158 97737 130316 162895 195474 260632 325790 390948 488685 521264 651580 781896 977370 1009949 1042528 1303160 1563792 1954740 2019898 2606320 3029847 3127584 3909480 4039796 5049745 5212640 6059694 7818960 8079592 10099490 12119388 15149235 15637920 16159184 20198980 24238776 30298470 32318368 40397960 48477552 60596940 80795920 96955104 121193880 161591840 242387760 484775520