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41955956 = 22722341227
BaseRepresentation
bin1010000000001…
…1001001110100
32220221120202022
42200003021310
541220042311
64055132312
71016422400
oct240031164
986846668
1041955956
1121757149
1212074098
1388ccc13
145802100
153a3b5db
hex2803274

41955956 has 72 divisors (see below), whose sum is σ = 91699776. Its totient is φ = 16705920.

The previous prime is 41955943. The next prime is 41955961. The reversal of 41955956 is 65955914.

Its product of digits (243000) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184715 + ... + 184941.

It is an arithmetic number, because the mean of its divisors is an integer number (1273608).

Almost surely, 241955956 is an apocalyptic number.

41955956 is a gapful number since it is divisible by the number (46) 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 41955956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849888).

41955956 is an abundant number, since it is smaller than the sum of its proper divisors (49743820).

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

41955956 is a wasteful number, since it uses less digits than its factorization.

41955956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its digits is 243000, while the sum is 44.

The square root of 41955956 is about 6477.3417387073. The cubic root of 41955956 is about 347.4811155481.

The spelling of 41955956 in words is "forty-one million, nine hundred fifty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 41 46 49 82 92 98 161 164 196 227 287 322 454 574 644 908 943 1127 1148 1589 1886 2009 2254 3178 3772 4018 4508 5221 6356 6601 8036 9307 10442 11123 13202 18614 20884 22246 26404 36547 37228 44492 46207 65149 73094 92414 130298 146188 184828 214061 255829 260596 428122 456043 511658 856244 912086 1023316 1498427 1824172 2996854 5993708 10488989 20977978 41955956