Search a number
-
+
41354046 = 23223243101
BaseRepresentation
bin1001110111000…
…0001100111110
32212211000002100
42131300030332
541041312141
64034205530
71011334506
oct235601476
985730070
1041354046
11213859a8
1211a238a6
13874bc66
1456c6a06
15396d0b6
hex277033e

41354046 has 72 divisors (see below), whose sum is σ = 96792696. Its totient is φ = 12751200.

The previous prime is 41354017. The next prime is 41354059. The reversal of 41354046 is 64045314.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409396 + ... + 409496.

It is an arithmetic number, because the mean of its divisors is an integer number (1344343).

Almost surely, 241354046 is an apocalyptic number.

41354046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41354046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48396348).

41354046 is an abundant number, since it is smaller than the sum of its proper divisors (55438650).

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

41354046 is a wasteful number, since it uses less digits than its factorization.

41354046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 41354046 is about 6430.7111581846. The cubic root of 41354046 is about 345.8114234083.

The spelling of 41354046 in words is "forty-one million, three hundred fifty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 101 129 138 202 207 258 303 387 414 529 606 774 909 989 1058 1587 1818 1978 2323 2967 3174 4343 4646 4761 5934 6969 8686 8901 9522 13029 13938 17802 20907 22747 26058 39087 41814 45494 53429 68241 78174 99889 106858 136482 160287 199778 204723 299667 320574 409446 480861 599334 899001 961722 1798002 2297447 4594894 6892341 13784682 20677023 41354046