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4338990825 = 35213231811069
BaseRepresentation
bin1000000101001111…
…11011111011101001
3102012101120120102220
410002213323323221
532341240201300
61554315344253
7212344546011
oct40247737351
912171516386
104338990825
11192727a034
12a11152089
13541c218c0
142d2396c41
151a5dd6da0
hex1029fbee9

4338990825 has 96 divisors (see below), whose sum is σ = 8113647360. Its totient is φ = 2030054400.

The previous prime is 4338990811. The next prime is 4338990839. The reversal of 4338990825 is 5280998334.

4338990825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4338990811) and next prime (4338990839).

It is not a de Polignac number, because 4338990825 - 220 = 4337942249 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4058391 + ... + 4059459.

It is an arithmetic number, because the mean of its divisors is an integer number (84517160).

Almost surely, 24338990825 is an apocalyptic number.

It is an amenable number.

4338990825 is a deficient number, since it is larger than the sum of its proper divisors (3774656535).

4338990825 is a wasteful number, since it uses less digits than its factorization.

4338990825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 4338990825 is about 65871.0165778546. The cubic root of 4338990825 is about 1631.0336105562.

The spelling of 4338990825 in words is "four billion, three hundred thirty-eight million, nine hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 13 15 23 25 39 65 69 75 115 181 195 299 325 345 543 575 897 905 975 1069 1495 1725 2353 2715 3207 4163 4485 4525 5345 7059 7475 11765 12489 13575 13897 16035 20815 22425 24587 26725 35295 41691 54119 58825 62445 69485 73761 80175 104075 122935 162357 176475 193489 208455 270595 312225 319631 347425 368805 580467 614675 811785 958893 967445 1042275 1352975 1598155 1844025 2515357 2902335 4058925 4450247 4794465 4837225 7546071 7990775 12576785 13350741 14511675 22251235 23972325 37730355 57853211 62883925 66753705 111256175 173559633 188651775 289266055 333768525 867798165 1446330275 4338990825