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483729408 = 213310
BaseRepresentation
bin11100110101010…
…010000000000000
31020201020000000000
4130311102000000
51442313320113
6120000000000
714662426551
oct3465220000
91221200000
10483729408
11229064078
12116000000
13792a9326
144835c328
152c702373
hex1cd52000

483729408 has 154 divisors (see below), whose sum is σ = 1451091459. Its totient is φ = 161243136.

The previous prime is 483729401. The next prime is 483729409. The reversal of 483729408 is 804927384.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)9 ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 241864704 + 241864704 = 15552^2 + 15552^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15552.

It is not an unprimeable number, because it can be changed into a prime (483729401) by changing a digit.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 161243135 + 161243136 + 161243137.

Almost surely, 2483729408 is an apocalyptic number.

483729408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483729408

483729408 is an abundant number, since it is smaller than the sum of its proper divisors (967362051).

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

483729408 is an frugal number, since it uses more digits than its factorization.

483729408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 483729408 is about 21993.8493220264. The cubic root of 483729408 is about 784.9960961035.

The spelling of 483729408 in words is "four hundred eighty-three million, seven hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2916 3072 3456 3888 4096 4374 4608 5184 5832 6144 6561 6912 7776 8192 8748 9216 10368 11664 12288 13122 13824 15552 17496 18432 19683 20736 23328 24576 26244 27648 31104 34992 36864 39366 41472 46656 52488 55296 59049 62208 69984 73728 78732 82944 93312 104976 110592 118098 124416 139968 157464 165888 186624 209952 221184 236196 248832 279936 314928 331776 373248 419904 472392 497664 559872 629856 663552 746496 839808 944784 995328 1119744 1259712 1492992 1679616 1889568 1990656 2239488 2519424 2985984 3359232 3779136 4478976 5038848 5971968 6718464 7558272 8957952 10077696 13436928 15116544 17915904 20155392 26873856 30233088 40310784 53747712 60466176 80621568 120932352 161243136 241864704 483729408