Search a number
-
+
41370744 = 23323149503
BaseRepresentation
bin1001110111010…
…0010001111000
32212211211222210
42131310101320
541042330434
64034415120
71011434262
oct235642170
985754883
1041370744
11213974a8
1211a314a0
13875673c
1456ccb32
153972ee9
hex2774478

41370744 has 64 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 13076096.

The previous prime is 41370739. The next prime is 41370761. The reversal of 41370744 is 44707314.

41370744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413707442 = 3423076918227072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81997 + ... + 82499.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 241370744 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 41370744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

41370744 is an abundant number, since it is smaller than the sum of its proper divisors (67493256).

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

41370744 is a wasteful number, since it uses less digits than its factorization.

41370744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 41370744 is about 6432.0093283514. The cubic root of 41370744 is about 345.8579612338.

The spelling of 41370744 in words is "forty-one million, three hundred seventy thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 149 184 276 298 447 503 552 596 894 1006 1192 1509 1788 2012 3018 3427 3576 4024 6036 6854 10281 11569 12072 13708 20562 23138 27416 34707 41124 46276 69414 74947 82248 92552 138828 149894 224841 277656 299788 449682 599576 899364 1723781 1798728 3447562 5171343 6895124 10342686 13790248 20685372 41370744