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482271840 = 25335111637
BaseRepresentation
bin11100101111101…
…110001001100000
31020121110221121000
4130233232021200
51441430144330
6115504432000
714644146231
oct3457561140
91217427530
10482271840
11228258a76
12115618600
1378bb8a6b
144809d088
152c515560
hex1cbee260

482271840 has 96 divisors (see below), whose sum is σ = 1687966560. Its totient is φ = 128604672.

The previous prime is 482271833. The next prime is 482271883. The reversal of 482271840 is 48172284.

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

It is a super-2 number, since 2×4822718402 = 465172255313971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 482271795 and 482271804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51499 + ... + 60138.

It is an arithmetic number, because the mean of its divisors is an integer number (17582985).

Almost surely, 2482271840 is an apocalyptic number.

482271840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482271840 is an abundant number, since it is smaller than the sum of its proper divisors (1205694720).

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

482271840 is a wasteful number, since it uses less digits than its factorization.

482271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111661 (or 111647 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 482271840 is about 21960.6885137966. The cubic root of 482271840 is about 784.2068557322.

The spelling of 482271840 in words is "four hundred eighty-two million, two hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 111637 223274 334911 446548 558185 669822 893096 1004733 1116370 1339644 1674555 1786192 2009466 2232740 2679288 3014199 3349110 3572384 4018932 4465480 5023665 5358576 6028398 6698220 8037864 8930960 10047330 10717152 12056796 13396440 15070995 16075728 17861920 20094660 24113592 26792880 30141990 32151456 40189320 48227184 53585760 60283980 80378640 96454368 120567960 160757280 241135920 482271840