Search a number
-
+
41291856 = 2434151211
BaseRepresentation
bin1001110110000…
…1000001010000
32212200211210000
42131201001100
541032314411
64033010000
71010655264
oct235410120
985624700
1041291856
1121343201
12119b3900
138729868
1456ac0a4
153959956
hex2761050

41291856 has 100 divisors (see below), whose sum is σ = 120872224. Its totient is φ = 13608000.

The previous prime is 41291849. The next prime is 41291881. The reversal of 41291856 is 65819214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41291856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195591 + ... + 195801.

Almost surely, 241291856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41291856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60436112).

41291856 is an abundant number, since it is smaller than the sum of its proper divisors (79580368).

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

41291856 is a wasteful number, since it uses less digits than its factorization.

41291856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 41291856 is about 6425.8739483435. The cubic root of 41291856 is about 345.6379877225.

The spelling of 41291856 in words is "forty-one million, two hundred ninety-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 151 162 211 216 302 324 422 432 453 604 633 648 844 906 1208 1266 1296 1359 1688 1812 1899 2416 2532 2718 3376 3624 3798 4077 5064 5436 5697 7248 7596 8154 10128 10872 11394 12231 15192 16308 17091 21744 22788 24462 30384 31861 32616 34182 45576 48924 63722 65232 68364 91152 95583 97848 127444 136728 191166 195696 254888 273456 286749 382332 509776 573498 764664 860247 1146996 1529328 1720494 2293992 2580741 3440988 4587984 5161482 6881976 10322964 13763952 20645928 41291856