Search a number
-
+
41306832 = 2432743953
BaseRepresentation
bin1001110110010…
…0101011010000
32212201121022200
42131210223100
541033304312
64033203200
71011050040
oct235445320
985647280
1041306832
1121353486
1211a00500
138733618
1456b3720
15395e0dc
hex2764ad0

41306832 has 120 divisors (see below), whose sum is σ = 135330624. Its totient is φ = 11515392.

The previous prime is 41306813. The next prime is 41306851. The reversal of 41306832 is 23860314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41306813) and next prime (41306851).

It is a junction number, because it is equal to n+sod(n) for n = 41306796 and 41306805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42868 + ... + 43820.

Almost surely, 241306832 is an apocalyptic number.

41306832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41306832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665312).

41306832 is an abundant number, since it is smaller than the sum of its proper divisors (94023792).

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

41306832 is a wasteful number, since it uses less digits than its factorization.

41306832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41306832 is about 6427.0391316686. The cubic root of 41306832 is about 345.6797687526.

The spelling of 41306832 in words is "forty-one million, three hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 953 1008 1032 1204 1548 1806 1906 2064 2408 2709 2859 3096 3612 3812 4816 5418 5718 6192 6671 7224 7624 8577 10836 11436 13342 14448 15248 17154 20013 21672 22872 26684 34308 40026 40979 43344 45744 53368 60039 68616 80052 81958 106736 120078 122937 137232 160104 163916 240156 245874 286853 320208 327832 368811 480312 491748 573706 655664 737622 860559 960624 983496 1147412 1475244 1721118 1966992 2294824 2581677 2950488 3442236 4589648 5163354 5900976 6884472 10326708 13768944 20653416 41306832