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41338290 = 23571011949
BaseRepresentation
bin1001110110110…
…0010110110010
32212210012110210
42131230112302
541040311130
64034004550
71011240540
oct235542662
985705423
1041338290
1121375084
1211a16756
138744a36
1456c0d90
1539685b0
hex276c5b2

41338290 has 64 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 9350400.

The previous prime is 41338277. The next prime is 41338303. The reversal of 41338290 is 9283314.

It is an interprime number because it is at equal distance from previous prime (41338277) and next prime (41338303).

It is a super-3 number, since 3×413382903 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20236 + ... + 22184.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 241338290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41338290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

41338290 is an abundant number, since it is smaller than the sum of its proper divisors (73228110).

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

41338290 is a wasteful number, since it uses less digits than its factorization.

41338290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 41338290 is about 6429.4859825650. The cubic root of 41338290 is about 345.7674994763.

The spelling of 41338290 in words is "forty-one million, three hundred thirty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 1010 1414 1515 1949 2121 3030 3535 3898 4242 5847 7070 9745 10605 11694 13643 19490 21210 27286 29235 40929 58470 68215 81858 136430 196849 204645 393698 409290 590547 984245 1181094 1377943 1968490 2755886 2952735 4133829 5905470 6889715 8267658 13779430 20669145 41338290