Search a number
-
+
41404692 = 22372329739
BaseRepresentation
bin1001110111110…
…0100100010100
32212220120120010
42131330210110
541044422232
64035240220
71011635250
oct235744424
985816503
1041404692
112140aa5a
1211a49070
138769024
1456db260
15397d0cc
hex277c914

41404692 has 96 divisors (see below), whose sum is σ = 119347200. Its totient is φ = 10910592.

The previous prime is 41404681. The next prime is 41404703. The reversal of 41404692 is 29640414.

41404692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41404681) and next prime (41404703).

It is a super-2 number, since 2×414046922 = 3428697039229728, 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 31 ways as a sum of consecutive naturals, for example, 55659 + ... + 56397.

It is an arithmetic number, because the mean of its divisors is an integer number (1243200).

Almost surely, 241404692 is an apocalyptic number.

41404692 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41404692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59673600).

41404692 is an abundant number, since it is smaller than the sum of its proper divisors (77942508).

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

41404692 is a wasteful number, since it uses less digits than its factorization.

41404692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 41404692 is about 6434.6477759082. The cubic root of 41404692 is about 345.9525367307.

The spelling of 41404692 in words is "forty-one million, four hundred four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 116 138 161 174 203 276 322 348 406 483 609 644 667 739 812 966 1218 1334 1478 1932 2001 2217 2436 2668 2956 4002 4434 4669 5173 8004 8868 9338 10346 14007 15519 16997 18676 20692 21431 28014 31038 33994 42862 50991 56028 62076 64293 67988 85724 101982 118979 128586 150017 203964 237958 257172 300034 356937 450051 475916 492913 600068 713874 900102 985826 1427748 1478739 1800204 1971652 2957478 3450391 5914956 6900782 10351173 13801564 20702346 41404692