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41916368 = 2413296949
BaseRepresentation
bin1001111111100…
…1011111010000
32220212120110002
42133321133100
541212310433
64054225132
71016166104
oct237713720
986776402
1041916368
112172a42a
12120551a8
1388b7bb0
1457d1904
153a2e9e8
hex27f97d0

41916368 has 40 divisors (see below), whose sum is σ = 90489000. Its totient is φ = 18676224.

The previous prime is 41916367. The next prime is 41916379. The reversal of 41916368 is 86361914.

It can be written as a sum of positive squares in 4 ways, for example, as 7011904 + 34904464 = 2648^2 + 5908^2 .

It is a super-2 number, since 2×419163682 = 3513963812622848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41916361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2558 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (2262225).

Almost surely, 241916368 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 41916368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45244500).

41916368 is an abundant number, since it is smaller than the sum of its proper divisors (48572632).

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

41916368 is a wasteful number, since it uses less digits than its factorization.

41916368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6993 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 41916368 is about 6474.2851342832. The cubic root of 41916368 is about 347.3717912904.

The spelling of 41916368 in words is "forty-one million, nine hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 6949 13898 27796 55592 90337 111184 180674 201521 361348 403042 722696 806084 1445392 1612168 2619773 3224336 5239546 10479092 20958184 41916368