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41797696 = 261741937
BaseRepresentation
bin1001111101110…
…0100001000000
32220122112122211
42133130201000
541200011241
64051511504
71015163113
oct237344100
986575584
1041797696
1121659256
1211bb8594
138875b85
1457a057a
153a09781
hex27dc840

41797696 has 56 divisors (see below), whose sum is σ = 90059256. Its totient is φ = 19169280.

The previous prime is 41797681. The next prime is 41797697. The reversal of 41797696 is 69679714.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 41783296 = 120^2 + 6464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41797697) 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 7 ways as a sum of consecutive naturals, for example, 44140 + ... + 45076.

It is an arithmetic number, because the mean of its divisors is an integer number (1608201).

Almost surely, 241797696 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 41797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45029628).

41797696 is an abundant number, since it is smaller than the sum of its proper divisors (48261560).

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

41797696 is a wasteful number, since it uses less digits than its factorization.

41797696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 571536, while the sum is 49.

The square root of 41797696 is about 6465.1137654337. The cubic root of 41797696 is about 347.0436595703.

The spelling of 41797696 in words is "forty-one million, seven hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 937 1088 1312 1394 1874 2624 2788 3748 5576 7496 11152 14992 15929 22304 29984 31858 38417 44608 59968 63716 76834 127432 153668 254864 307336 509728 614672 653089 1019456 1229344 1306178 2458688 2612356 5224712 10449424 20898848 41797696