Search a number
-
+
41364408 = 23341127331
BaseRepresentation
bin1001110111001…
…0101110111000
32212211112022010
42131302232320
541042130113
64034325520
71011406641
oct235625670
985745263
1041364408
1121392768
1211a298a0
1387538a7
1456ca6c8
1539711c3
hex2772bb8

41364408 has 64 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 13305600.

The previous prime is 41364403. The next prime is 41364413. The reversal of 41364408 is 80446314.

It is an interprime number because it is at equal distance from previous prime (41364403) and next prime (41364413).

It is a super-2 number, since 2×413644082 = 3422028498380928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41364403) 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, 124803 + ... + 125133.

It is an arithmetic number, because the mean of its divisors is an integer number (1673280).

Almost surely, 241364408 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 41364408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

41364408 is an abundant number, since it is smaller than the sum of its proper divisors (65725512).

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

41364408 is a wasteful number, since it uses less digits than its factorization.

41364408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 41364408 is about 6431.5167728927. The cubic root of 41364408 is about 345.8403040868.

The spelling of 41364408 in words is "forty-one million, three hundred sixty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 127 164 246 254 328 331 381 492 508 662 762 984 993 1016 1324 1524 1986 2648 3048 3972 5207 7944 10414 13571 15621 20828 27142 31242 40713 41656 42037 54284 62484 81426 84074 108568 124968 126111 162852 168148 252222 325704 336296 504444 1008888 1723517 3447034 5170551 6894068 10341102 13788136 20682204 41364408