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482114820 = 22351136037
BaseRepresentation
bin11100101111000…
…111110100000100
31020121011222012110
4130233013310010
51441410133240
6115501221020
714642623365
oct3457076404
91217158173
10482114820
11228161000
12115561770
1378b62455
144805bb6c
152c4d3c80
hex1cbc7d04

482114820 has 96 divisors (see below), whose sum is σ = 1485058176. Its totient is φ = 116856960.

The previous prime is 482114819. The next prime is 482114837. The reversal of 482114820 is 28411284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76842 + ... + 82878.

It is an arithmetic number, because the mean of its divisors is an integer number (15469356).

Almost surely, 2482114820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482114820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742529088).

482114820 is an abundant number, since it is smaller than the sum of its proper divisors (1002943356).

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

482114820 is a wasteful number, since it uses less digits than its factorization.

482114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 482114820 is about 21957.1131982326. The cubic root of 482114820 is about 784.1217380894.

The spelling of 482114820 in words is "four hundred eighty-two million, one hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2662 3630 3993 5324 6037 6655 7260 7986 12074 13310 15972 18111 19965 24148 26620 30185 36222 39930 60370 66407 72444 79860 90555 120740 132814 181110 199221 265628 332035 362220 398442 664070 730477 796884 996105 1328140 1460954 1992210 2191431 2921908 3652385 3984420 4382862 7304770 8035247 8765724 10957155 14609540 16070494 21914310 24105741 32140988 40176235 43828620 48211482 80352470 96422964 120528705 160704940 241057410 482114820