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41011152 = 24371341229
BaseRepresentation
bin1001110001110…
…0011111010000
32212011120201120
42130130133100
540444324102
64023002240
71005406020
oct234343720
985146646
1041011152
1121171316
1211899380
13865bb70
145637a80
1539016bc
hex271c7d0

41011152 has 160 divisors (see below), whose sum is σ = 134158080. Its totient is φ = 10506240.

The previous prime is 41011129. The next prime is 41011153. The reversal of 41011152 is 25111014.

It is a happy number.

41011152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41011153) 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 31 ways as a sum of consecutive naturals, for example, 178974 + ... + 179202.

It is an arithmetic number, because the mean of its divisors is an integer number (838488).

Almost surely, 241011152 is an apocalyptic number.

41011152 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 41011152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079040).

41011152 is an abundant number, since it is smaller than the sum of its proper divisors (93146928).

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

41011152 is a wasteful number, since it uses less digits than its factorization.

41011152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 41011152 is about 6403.9950031211. The cubic root of 41011152 is about 344.8529850404.

Adding to 41011152 its reverse (25111014), we get a palindrome (66122166).

It can be divided in two parts, 4101 and 1152, that added together give a triangular number (5253 = T102).

The spelling of 41011152 in words is "forty-one million, eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 229 246 273 287 312 328 336 364 458 492 533 546 574 624 656 687 728 861 916 984 1066 1092 1148 1374 1456 1599 1603 1722 1832 1968 2132 2184 2296 2748 2977 3198 3206 3444 3664 3731 4264 4368 4592 4809 5496 5954 6396 6412 6888 7462 8528 8931 9389 9618 10992 11193 11908 12792 12824 13776 14924 17862 18778 19236 20839 22386 23816 25584 25648 28167 29848 35724 37556 38472 41678 44772 47632 56334 59696 62517 65723 71448 75112 76944 83356 89544 112668 122057 125034 131446 142896 150224 166712 179088 197169 225336 244114 250068 262892 333424 366171 394338 450672 488228 500136 525784 732342 788676 854399 976456 1000272 1051568 1464684 1577352 1708798 1952912 2563197 2929368 3154704 3417596 5126394 5858736 6835192 10252788 13670384 20505576 41011152