Search a number
-
+
41023904 = 2523139401
BaseRepresentation
bin1001110001111…
…1100110100000
32212012020012212
42130133212200
541000231104
64023141252
71005461135
oct234374640
985166185
1041023904
112117a959
12118a4828
1386648cc
14563c58c
15390536e
hex271f9a0

41023904 has 48 divisors (see below), whose sum is σ = 85095360. Its totient is φ = 19430400.

The previous prime is 41023901. The next prime is 41023909. The reversal of 41023904 is 40932014.

41023904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 41023904.

It is not an unprimeable number, because it can be changed into a prime (41023901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 102104 + ... + 102504.

It is an arithmetic number, because the mean of its divisors is an integer number (1772820).

Almost surely, 241023904 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 41023904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547680).

41023904 is an abundant number, since it is smaller than the sum of its proper divisors (44071456).

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

41023904 is a wasteful number, since it uses less digits than its factorization.

41023904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 41023904 is about 6404.9905542475. The cubic root of 41023904 is about 344.8887241775. Note that the first 3 decimals are identical.

Adding to 41023904 its reverse (40932014), we get a palindrome (81955918).

The spelling of 41023904 in words is "forty-one million, twenty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 139 184 278 368 401 556 736 802 1112 1604 2224 3197 3208 4448 6394 6416 9223 12788 12832 18446 25576 36892 51152 55739 73784 102304 111478 147568 222956 295136 445912 891824 1281997 1783648 2563994 5127988 10255976 20511952 41023904