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1628283904 = 210132972
BaseRepresentation
bin110000100001101…
…1010010000000000
311012110220101121021
41201003122100000
511313320041104
6425323435224
755231120252
oct14103322000
94173811537
101628283904
1176613a885
12395385b14
131cc459900
14116377cd2
1597e39754
hex610da400

1628283904 has 99 divisors (see below), whose sum is σ = 3561331707. Its totient is φ = 743768064.

The previous prime is 1628283889. The next prime is 1628283913. The reversal of 1628283904 is 4093828261.

The square root of 1628283904 is 40352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 297493504 + 1330790400 = 17248^2 + 36480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16786384 + ... + 16786480.

Almost surely, 21628283904 is an apocalyptic number.

1628283904 is the 40352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628283904

1628283904 is an abundant number, since it is smaller than the sum of its proper divisors (1933047803).

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

1628283904 is an frugal number, since it uses more digits than its factorization.

1628283904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The cubic root of 1628283904 is about 1176.4587655847.

The spelling of 1628283904 in words is "one billion, six hundred twenty-eight million, two hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 169 194 208 256 338 388 416 512 676 776 832 1024 1261 1352 1552 1664 2522 2704 3104 3328 5044 5408 6208 6656 9409 10088 10816 12416 13312 16393 18818 20176 21632 24832 32786 37636 40352 43264 49664 65572 75272 80704 86528 99328 122317 131144 150544 161408 173056 244634 262288 301088 322816 489268 524576 602176 645632 978536 1049152 1204352 1291264 1590121 1957072 2098304 2408704 3180242 3914144 4196608 4817408 6360484 7828288 8393216 9634816 12720968 15656576 16786432 25441936 31313152 50883872 62626304 101767744 125252608 203535488 407070976 814141952 1628283904