Search a number
-
+
40984748 = 22719411879
BaseRepresentation
bin1001110001011…
…0000010101100
32212010020111122
42130112002230
540443002443
64022240112
71005236030
oct234260254
985106448
1040984748
11211534a2
1211886038
13864cb3c
14562c1c0
1538e8968
hex27160ac

40984748 has 48 divisors (see below), whose sum is σ = 88435200. Its totient is φ = 16225920.

The previous prime is 40984747. The next prime is 40984753. The reversal of 40984748 is 84748904.

It is a junction number, because it is equal to n+sod(n) for n = 40984699 and 40984708.

It is not an unprimeable number, because it can be changed into a prime (40984747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20873 + ... + 22751.

It is an arithmetic number, because the mean of its divisors is an integer number (1842400).

Almost surely, 240984748 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 40984748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44217600).

40984748 is an abundant number, since it is smaller than the sum of its proper divisors (47450452).

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

40984748 is a wasteful number, since it uses less digits than its factorization.

40984748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 40984748 is about 6401.9331455428. The cubic root of 40984748 is about 344.7789608414.

The spelling of 40984748 in words is "forty million, nine hundred eighty-four thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 1879 3116 3758 5453 7516 10906 13153 21812 26306 35701 52612 71402 77039 142804 154078 249907 308156 499814 539273 999628 1078546 1463741 2157092 2927482 5854964 10246187 20492374 40984748