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41194164 = 223113110067
BaseRepresentation
bin1001110100100…
…1001010110100
32212111212202210
42131021022310
541021203124
64030533420
71010100414
oct235111264
985455683
1041194164
1121286870
1211967270
1386c425b
145684644
15393aa29
hex27492b4

41194164 has 48 divisors (see below), whose sum is σ = 108251136. Its totient is φ = 12079200.

The previous prime is 41194151. The next prime is 41194169. The reversal of 41194164 is 46149114.

It is a super-3 number, since 3×411941643 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41194169) 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, 942 + ... + 9125.

It is an arithmetic number, because the mean of its divisors is an integer number (2255232).

Almost surely, 241194164 is an apocalyptic number.

41194164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41194164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54125568).

41194164 is an abundant number, since it is smaller than the sum of its proper divisors (67056972).

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

41194164 is a wasteful number, since it uses less digits than its factorization.

41194164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10114 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 41194164 is about 6418.2679906654. The cubic root of 41194164 is about 345.3651919578.

The spelling of 41194164 in words is "forty-one million, one hundred ninety-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 10067 20134 30201 40268 60402 110737 120804 221474 312077 332211 442948 624154 664422 936231 1248308 1328844 1872462 3432847 3744924 6865694 10298541 13731388 20597082 41194164