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841483890 = 234513157509
BaseRepresentation
bin110010001010000…
…000011001110010
32011122101210220000
4302022000121302
53210404441030
6215255530430
726565331542
oct6212003162
92148353800
10841483890
113a1aa5335
121b5989a16
13105448c80
147da87322
154dd1d860
hex32280672

841483890 has 160 divisors (see below), whose sum is σ = 2457045360. Its totient is φ = 205410816.

The previous prime is 841483883. The next prime is 841483919. The reversal of 841483890 is 98384148.

841483890 is a `hidden beast` number, since 84 + 1 + 483 + 8 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 254051721 + 587432169 = 15939^2 + 24237^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1652956 + ... + 1653464.

Almost surely, 2841483890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841483890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228522680).

841483890 is an abundant number, since it is smaller than the sum of its proper divisors (1615561470).

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

841483890 is a wasteful number, since it uses less digits than its factorization.

841483890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 841483890 is about 29008.3417313020. The cubic root of 841483890 is about 944.0940675496.

The spelling of 841483890 in words is "eight hundred forty-one million, four hundred eighty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 157 162 195 234 270 314 351 390 405 471 509 585 702 785 810 942 1018 1053 1170 1413 1527 1570 1755 2041 2106 2355 2545 2826 3054 3510 4082 4239 4581 4710 5090 5265 6123 6617 7065 7635 8478 9162 10205 10530 12246 12717 13234 13743 14130 15270 18369 19851 20410 21195 22905 25434 27486 30615 33085 36738 39702 41229 42390 45810 55107 59553 61230 63585 66170 68715 79913 82458 91845 99255 110214 119106 127170 137430 159826 165321 178659 183690 198510 206145 239739 275535 297765 330642 357318 399565 412290 479478 535977 551070 595530 719217 799130 826605 893295 1038869 1071954 1198695 1438434 1653210 1786590 2077738 2157651 2397390 2679885 3116607 3596085 4315302 5194345 5359770 6233214 6472953 7192170 9349821 10388690 10788255 12945906 15583035 18699642 21576510 28049463 31166070 32364765 46749105 56098926 64729530 84148389 93498210 140247315 168296778 280494630 420741945 841483890