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41120772 = 223711191233
BaseRepresentation
bin1001110011011…
…1010000000100
32212101011002120
42130313100010
541011331042
64025205540
71006343430
oct234672004
985334076
1041120772
1121236710
12119308b0
138699a24
1456659c0
153923dec
hex2737404

41120772 has 96 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 10579200.

The previous prime is 41120747. The next prime is 41120777. The reversal of 41120772 is 27702114.

It is not an unprimeable number, because it can be changed into a prime (41120777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176368 + ... + 176600.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 241120772 is an apocalyptic number.

41120772 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 41120772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

41120772 is an abundant number, since it is smaller than the sum of its proper divisors (79645692).

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

41120772 is a wasteful number, since it uses less digits than its factorization.

41120772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 41120772 is about 6412.5480115162. The cubic root of 41120772 is about 345.1599678235.

Adding to 41120772 its reverse (27702114), we get a palindrome (68822886).

The spelling of 41120772 in words is "forty-one million, one hundred twenty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 191 231 233 308 382 462 466 573 699 764 924 932 1146 1337 1398 1631 2101 2292 2563 2674 2796 3262 4011 4202 4893 5126 5348 6303 6524 7689 8022 8404 9786 10252 12606 14707 15378 16044 17941 19572 25212 29414 30756 35882 44121 44503 53823 58828 71764 88242 89006 107646 133509 176484 178012 215292 267018 311521 489533 534036 623042 934563 979066 1246084 1468599 1869126 1958132 2937198 3426731 3738252 5874396 6853462 10280193 13706924 20560386 41120772