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3209448242 = 2711132127971
BaseRepresentation
bin1011111101001100…
…0100101100110010
322021200010212022102
42333103010230302
523033104320432
61250245340402
7142350600650
oct27723045462
98250125272
103209448242
1113a7716a70
12756a07702
133c1bc9200
14226367dd0
1513bb67962
hexbf4c4b32

3209448242 has 96 divisors (see below), whose sum is σ = 6557220864. Its totient is φ = 1143979200.

The previous prime is 3209448181. The next prime is 3209448269. The reversal of 3209448242 is 2428449023.

It is a junction number, because it is equal to n+sod(n) for n = 3209448196 and 3209448205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3304817 + ... + 3305787.

It is an arithmetic number, because the mean of its divisors is an integer number (68304384).

Almost surely, 23209448242 is an apocalyptic number.

3209448242 is an abundant number, since it is smaller than the sum of its proper divisors (3347772622).

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

3209448242 is a wasteful number, since it uses less digits than its factorization.

3209448242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3209448242 is about 56651.9923921480. The cubic root of 3209448242 is about 1475.0614919495.

The spelling of 3209448242 in words is "three billion, two hundred nine million, four hundred forty-eight thousand, two hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 127 143 154 169 182 254 286 338 889 971 1001 1183 1397 1651 1778 1859 1942 2002 2366 2794 3302 3718 6797 9779 10681 11557 12623 13013 13594 18161 19558 21362 21463 23114 25246 26026 36322 42926 74767 88361 123317 127127 138853 149534 150241 164099 176722 236093 246634 254254 277706 300482 328198 472186 863219 971971 1148693 1356487 1603121 1652651 1726438 1805089 1943942 2297386 2712974 3206242 3305302 3610178 9495409 11221847 12635623 17634331 18990818 20840573 22443694 25271246 35268662 41681146 123440317 145884011 229246303 246880634 291768022 458492606 1604724121 3209448242