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41097056 = 25711131283
BaseRepresentation
bin1001110011000…
…1011101100000
32212022221120012
42130301131200
541010101211
64024504052
71006214330
oct234613540
985287505
1041097056
112121a910
121191b028
13868bcb0
14565b0c0
15391bd8b
hex2731760

41097056 has 96 divisors (see below), whose sum is σ = 108718848. Its totient is φ = 14768640.

The previous prime is 41097053. The next prime is 41097061. The reversal of 41097056 is 65079014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41097053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31391 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (1132488).

Almost surely, 241097056 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 41097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54359424).

41097056 is an abundant number, since it is smaller than the sum of its proper divisors (67621792).

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

41097056 is a wasteful number, since it uses less digits than its factorization.

41097056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 41097056 is about 6410.6985578796. The cubic root of 41097056 is about 345.0935991927.

The spelling of 41097056 in words is "forty-one million, ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1283 1456 2002 2288 2464 2566 2912 4004 4576 5132 8008 8981 10264 14113 16016 16679 17962 20528 28226 32032 33358 35924 41056 56452 66716 71848 98791 112904 116753 133432 143696 183469 197582 225808 233506 266864 287392 366938 395164 451616 467012 533728 733876 790328 934024 1284283 1467752 1580656 1868048 2568566 2935504 3161312 3736096 5137132 5871008 10274264 20548528 41097056