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41268690 = 23851737
BaseRepresentation
bin1001110101101…
…1010111010010
32212122200000000
42131123113102
541031044230
64032310430
71010530611
oct235332722
985580000
1041268690
1121327861
12119a2416
13871c158
1456a3878
153952b60
hex275b5d2

41268690 has 144 divisors (see below), whose sum is σ = 121162392. Its totient is φ = 10077696.

The previous prime is 41268641. The next prime is 41268697. The reversal of 41268690 is 9686214.

It can be written as a sum of positive squares in 4 ways, for example, as 40947201 + 321489 = 6399^2 + 567^2 .

It is a super-2 number, since 2×412686902 = 3406209548632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41268697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115352 + ... + 1115388.

Almost surely, 241268690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41268690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60581196).

41268690 is an abundant number, since it is smaller than the sum of its proper divisors (79893702).

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

41268690 is an equidigital number, since it uses as much as digits as its factorization.

41268690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41268690 is about 6424.0711390831. The cubic root of 41268690 is about 345.5733377869.

The spelling of 41268690 in words is "forty-one million, two hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 37 45 51 54 74 81 85 90 102 111 135 153 162 170 185 222 243 255 270 306 333 370 405 459 486 510 555 629 666 729 765 810 918 999 1110 1215 1258 1377 1458 1530 1665 1887 1998 2187 2295 2430 2754 2997 3145 3330 3645 3774 4131 4374 4590 4995 5661 5994 6290 6561 6885 7290 8262 8991 9435 9990 10935 11322 12393 13122 13770 14985 16983 17982 18870 20655 21870 24786 26973 28305 29970 32805 33966 37179 41310 44955 50949 53946 56610 61965 65610 74358 80919 84915 89910 101898 111537 123930 134865 152847 161838 169830 185895 223074 242757 254745 269730 305694 371790 404595 458541 485514 509490 557685 764235 809190 917082 1115370 1213785 1375623 1528470 2292705 2427570 2751246 4126869 4585410 6878115 8253738 13756230 20634345 41268690