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40411404 = 2232111941131
BaseRepresentation
bin1001101000101…
…0000100001100
32211001010000200
42122022010030
540321131104
64002053500
71000330335
oct232120414
984033020
1040411404
11208a1760
121164a290
1384abb97
14551d28c
153833b39
hex268a10c

40411404 has 144 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 11232000.

The previous prime is 40411403. The next prime is 40411409.

40411404 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40411403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308419 + ... + 308549.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 240411404 is an apocalyptic number.

40411404 is a gapful number since it is divisible by the number (44) 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 40411404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

40411404 is an abundant number, since it is smaller than the sum of its proper divisors (80669556).

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

40411404 is a wasteful number, since it uses less digits than its factorization.

40411404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40411404 is about 6356.9964605936. The cubic root of 40411404 is about 343.1636773465.

It can be divided in two parts, 4041 and 1404, that added together give a palindrome (5445).

The spelling of 40411404 in words is "forty million, four hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 41 44 57 66 76 82 99 114 123 131 132 164 171 198 209 228 246 262 342 369 393 396 418 451 492 524 627 684 738 779 786 836 902 1179 1254 1353 1441 1476 1558 1572 1804 1881 2337 2358 2489 2508 2706 2882 3116 3762 4059 4323 4674 4716 4978 5371 5412 5764 7011 7467 7524 8118 8569 8646 9348 9956 10742 12969 14022 14934 16113 16236 17138 17292 21484 22401 25707 25938 27379 28044 29868 32226 34276 44802 48339 51414 51876 54758 59081 64452 77121 82137 89604 96678 102049 102828 109516 118162 154242 164274 177243 193356 204098 236324 246411 306147 308484 328548 354486 408196 492822 531729 612294 708972 918441 985644 1063458 1122539 1224588 1836882 2126916 2245078 3367617 3673764 4490156 6735234 10102851 13470468 20205702 40411404