Search a number
-
+
41484690 = 23351353223
BaseRepresentation
bin1001111001000…
…0000110010010
32220001122022000
42132100012102
541110002230
64041054430
71012420422
oct236200622
986048260
1041484690
1121465075
1211a87416
138796570
14571c482
153996b60
hex2790192

41484690 has 128 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 9974016.

The previous prime is 41484679. The next prime is 41484701. The reversal of 41484690 is 9648414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41484679) and next prime (41484701).

It is a super-2 number, since 2×414846902 = 3441959008792200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185919 + ... + 186141.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 241484690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41484690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

41484690 is an abundant number, since it is smaller than the sum of its proper divisors (80442990).

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

41484690 is a wasteful number, since it uses less digits than its factorization.

41484690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41484690 is about 6440.8609672931. The cubic root of 41484690 is about 346.1751983410.

The spelling of 41484690 in words is "forty-one million, four hundred eighty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 53 54 65 78 90 106 117 130 135 159 195 223 234 265 270 318 351 390 446 477 530 585 669 689 702 795 954 1115 1170 1338 1378 1431 1590 1755 2007 2067 2230 2385 2862 2899 3345 3445 3510 4014 4134 4770 5798 6021 6201 6690 6890 7155 8697 10035 10335 11819 12042 12402 14310 14495 17394 18603 20070 20670 23638 26091 28990 30105 31005 35457 37206 43485 52182 59095 60210 62010 70914 78273 86970 93015 106371 118190 130455 153647 156546 177285 186030 212742 260910 307294 319113 354570 391365 460941 531855 638226 768235 782730 921882 1063710 1382823 1536470 1595565 2304705 2765646 3191130 4148469 4609410 6914115 8296938 13828230 20742345 41484690