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40411104 = 2533137367
BaseRepresentation
bin1001101000100…
…1111111100000
32211001002121120
42122021333200
540321123404
64002052240
71000326426
oct232117740
984032546
1040411104
11208a1508
121164a080
1384ab9c6
14551d116
1538339d9
hex2689fe0

40411104 has 96 divisors (see below), whose sum is σ = 112766976. Its totient is φ = 12648960.

The previous prime is 40411093. The next prime is 40411109. The reversal of 40411104 is 40111404.

40411104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40411109) 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 15 ways as a sum of consecutive naturals, for example, 109929 + ... + 110295.

It is an arithmetic number, because the mean of its divisors is an integer number (1174656).

Almost surely, 240411104 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 40411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56383488).

40411104 is an abundant number, since it is smaller than the sum of its proper divisors (72355872).

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

40411104 is a wasteful number, since it uses less digits than its factorization.

40411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 40411104 is about 6356.9728645008. The cubic root of 40411104 is about 343.1628281691.

Adding to 40411104 its reverse (40111404), we get a palindrome (80522508).

The spelling of 40411104 in words is "forty million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 367 372 444 496 592 734 744 888 992 1101 1147 1184 1468 1488 1776 2202 2294 2936 2976 3441 3552 4404 4588 5872 6882 8808 9176 11377 11744 13579 13764 17616 18352 22754 27158 27528 34131 35232 36704 40737 45508 54316 55056 68262 81474 91016 108632 110112 136524 162948 182032 217264 273048 325896 364064 420949 434528 546096 651792 841898 1092192 1262847 1303584 1683796 2525694 3367592 5051388 6735184 10102776 13470368 20205552 40411104