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482101984 = 25721367353
BaseRepresentation
bin11100101111000…
…100101011100000
31020121011022121001
4130233010223200
51441404230414
6115501041344
714642541100
oct3457045340
91217138531
10482101984
112281523a1
12115556254
1378b59660
1448057200
152c4d0074
hex1cbc4ae0

482101984 has 144 divisors (see below), whose sum is σ = 1210195728. Its totient is φ = 187342848.

The previous prime is 482101981. The next prime is 482101993. The reversal of 482101984 is 489101284.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482101981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365552 + ... + 1365904.

It is an arithmetic number, because the mean of its divisors is an integer number (8404137).

Almost surely, 2482101984 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 482101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605097864).

482101984 is an abundant number, since it is smaller than the sum of its proper divisors (728093744).

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

482101984 is a wasteful number, since it uses less digits than its factorization.

482101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 482101984 is about 21956.8208992103. The cubic root of 482101984 is about 784.1147791137.

The spelling of 482101984 in words is "four hundred eighty-two million, one hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 67 91 98 104 112 134 182 196 208 224 268 353 364 392 416 469 536 637 706 728 784 871 938 1072 1274 1412 1456 1568 1742 1876 2144 2471 2548 2824 2912 3283 3484 3752 4589 4942 5096 5648 6097 6566 6968 7504 9178 9884 10192 11296 12194 13132 13936 15008 17297 18356 19768 20384 23651 24388 26264 27872 32123 34594 36712 39536 42679 47302 48776 52528 64246 69188 73424 79072 85358 94604 97552 105056 128492 138376 146848 165557 170716 189208 195104 224861 256984 276752 307463 331114 341432 378416 449722 513968 553504 614926 662228 682864 756832 899444 1027936 1158899 1229852 1324456 1365728 1798888 2152241 2317798 2459704 2648912 3597776 4304482 4635596 4919408 5297824 7195552 8608964 9271192 9838816 15065687 17217928 18542384 30131374 34435856 37084768 60262748 68871712 120525496 241050992 482101984