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482205952 = 2817179619
BaseRepresentation
bin11100101111011…
…110000100000000
31020121100121012201
4130233132010000
51441421042302
6115503202544
714643453154
oct3457360400
91217317181
10482205952
11228213518
121155a6454
1378b94a87
1448083064
152c500c87
hex1cbde100

482205952 has 72 divisors (see below), whose sum is σ = 1026496800. Its totient is φ = 225288192.

The previous prime is 482205949. The next prime is 482205973. The reversal of 482205952 is 259502284.

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 7 ways as a sum of consecutive naturals, for example, 778699 + ... + 779317.

It is an arithmetic number, because the mean of its divisors is an integer number (14256900).

Almost surely, 2482205952 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 482205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513248400).

482205952 is an abundant number, since it is smaller than the sum of its proper divisors (544290848).

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

482205952 is a wasteful number, since it uses less digits than its factorization.

482205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 482205952 is about 21959.1883274405. The cubic root of 482205952 is about 784.1711413140.

The spelling of 482205952 in words is "four hundred eighty-two million, two hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 179 256 272 358 544 619 716 1088 1238 1432 2176 2476 2864 3043 4352 4952 5728 6086 9904 10523 11456 12172 19808 21046 22912 24344 39616 42092 45824 48688 79232 84184 97376 110801 158464 168368 194752 221602 336736 389504 443204 673472 779008 886408 1346944 1772816 1883617 2693888 3545632 3767234 7091264 7534468 14182528 15068936 28365056 30137872 60275744 120551488 241102976 482205952