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2482334208 = 2933792273
BaseRepresentation
bin1001001111110101…
…0110101000000000
320101222221122101000
42103331112220000
520040434143313
61050153012000
7115341330654
oct22375265000
96358848330
102482334208
111064238482
125933b4000
13307385613
14197972a64
15e7ddb673
hex93f56a00

2482334208 has 160 divisors (see below), whose sum is σ = 7444166400. Its totient is φ = 816611328.

The previous prime is 2482334201. The next prime is 2482334213. The reversal of 2482334208 is 8024332842.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2482334201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090960 + ... + 1093232.

It is an arithmetic number, because the mean of its divisors is an integer number (46526040).

Almost surely, 22482334208 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 2482334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722083200).

2482334208 is an abundant number, since it is smaller than the sum of its proper divisors (4961832192).

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

2482334208 is an equidigital number, since it uses as much as digits as its factorization.

2482334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2482334208 is about 49823.0288922703. The cubic root of 2482334208 is about 1354.0044262092.

The spelling of 2482334208 in words is "two billion, four hundred eighty-two million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1152 1264 1422 1536 1728 1896 2133 2273 2304 2528 2844 3456 3792 4266 4546 4608 5056 5688 6819 6912 7584 8532 9092 10112 11376 13638 13824 15168 17064 18184 20224 20457 22752 27276 30336 34128 36368 40448 40914 45504 54552 60672 61371 68256 72736 81828 91008 109104 121344 122742 136512 145472 163656 179567 182016 218208 245484 273024 290944 327312 359134 364032 436416 490968 538701 546048 581888 654624 718268 872832 981936 1077402 1092096 1163776 1309248 1436536 1616103 1745664 1963872 2154804 2618496 2873072 3232206 3491328 3927744 4309608 4848309 5236992 5746144 6464412 7855488 8619216 9696618 10473984 11492288 12928824 15710976 17238432 19393236 22984576 25857648 31421952 34476864 38786472 45969152 51715296 68953728 77572944 91938304 103430592 137907456 155145888 206861184 275814912 310291776 413722368 620583552 827444736 1241167104 2482334208