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483763680 = 253253110837
BaseRepresentation
bin11100110101011…
…010010111100000
31020201021202000100
4130311122113200
51442320414210
6120000422400
714662631511
oct3465322740
91221252010
10483763680
112290878a4
12116017a00
13792bbaca
144836aa08
152c70c5c0
hex1cd5a5e0

483763680 has 144 divisors (see below), whose sum is σ = 1704253824. Its totient is φ = 124830720.

The previous prime is 483763661. The next prime is 483763697. The reversal of 483763680 is 86367384.

483763680 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39222 + ... + 50058.

It is an arithmetic number, because the mean of its divisors is an integer number (11835096).

Almost surely, 2483763680 is an apocalyptic number.

483763680 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 483763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852126912).

483763680 is an abundant number, since it is smaller than the sum of its proper divisors (1220490144).

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

483763680 is a wasteful number, since it uses less digits than its factorization.

483763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 483763680 is about 21994.6284351430. The cubic root of 483763680 is about 785.0146345332.

The spelling of 483763680 in words is "four hundred eighty-three million, seven hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 10837 11160 14880 21674 22320 32511 43348 44640 54185 65022 86696 97533 108370 130044 162555 173392 195066 216740 260088 325110 335947 346784 390132 433480 487665 520176 650220 671894 780264 866960 975330 1007841 1040352 1300440 1343788 1560528 1679735 1733920 1950660 2015682 2600880 2687576 3023523 3121056 3359470 3901320 4031364 5039205 5201760 5375152 6047046 6718940 7802640 8062728 10078410 10750304 12094092 13437880 15117615 15605280 16125456 20156820 24188184 26875760 30235230 32250912 40313640 48376368 53751520 60470460 80627280 96752736 120940920 161254560 241881840 483763680