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41125104 = 2433234139
BaseRepresentation
bin1001110011100…
…0010011110000
32212101101001000
42130320103300
541012000404
64025242000
71006362156
oct234702360
985341030
1041125104
1121239999
1211933300
13869b9a7
1456673d6
153925339
hex27384f0

41125104 has 80 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 13109184.

The previous prime is 41125099. The next prime is 41125151. The reversal of 41125104 is 40152114.

41125104 is a `hidden beast` number, since 411 + 251 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7867 + ... + 12005.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 241125104 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 41125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

41125104 is an abundant number, since it is smaller than the sum of its proper divisors (82081296).

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

41125104 is a wasteful number, since it uses less digits than its factorization.

41125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 41125104 is about 6412.8857778694. The cubic root of 41125104 is about 345.1720880602.

Adding to 41125104 its reverse (40152114), we get a palindrome (81277218).

It can be divided in two parts, 4112 and 5104, that added together give a square (9216 = 962).

The spelling of 41125104 in words is "forty-one million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4139 4968 8278 9936 12417 16556 24834 33112 37251 49668 66224 74502 95197 99336 111753 149004 190394 198672 223506 285591 298008 380788 447012 571182 596016 761576 856773 894024 1142364 1523152 1713546 1788048 2284728 2570319 3427092 4569456 5140638 6854184 10281276 13708368 20562552 41125104