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41148414 = 23219791523
BaseRepresentation
bin1001110011110…
…1111111111110
32212102120000100
42130331333332
541013222124
64025541530
71006520136
oct234757776
985376010
1041148414
112125545a
12119448a6
1386a9498
145671ac6
15392c1c9
hex273dffe

41148414 has 48 divisors (see below), whose sum is σ = 95097600. Its totient is φ = 12821328.

The previous prime is 41148413. The next prime is 41148431. The reversal of 41148414 is 41484114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41148413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26257 + ... + 27779.

It is an arithmetic number, because the mean of its divisors is an integer number (1981200).

Almost surely, 241148414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41148414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

41148414 is an abundant number, since it is smaller than the sum of its proper divisors (53949186).

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

41148414 is a wasteful number, since it uses less digits than its factorization.

41148414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1626 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 41148414 is about 6414.7029549310. The cubic root of 41148414 is about 345.2372910701.

The spelling of 41148414 in words is "forty-one million, one hundred forty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 1523 3002 3046 4503 4569 9006 9138 13509 13707 27018 27414 28937 57874 86811 120317 173622 240634 260433 360951 520866 721902 1082853 2165706 2286023 4572046 6858069 13716138 20574207 41148414