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41957960 = 2351128669
BaseRepresentation
bin1010000000001…
…1101001001000
32220221200111112
42200003221020
541220123320
64055145452
71016431262
oct240035110
986850445
1041957960
1121758700
1212075288
138900ac5
145802b32
153a3bec5
hex2803a48

41957960 has 48 divisors (see below), whose sum is σ = 103779900. Its totient is φ = 15255680.

The previous prime is 41957959. The next prime is 41958001. The reversal of 41957960 is 6975914.

It can be written as a sum of positive squares in 2 ways, for example, as 41550916 + 407044 = 6446^2 + 638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506 + ... + 9174.

Almost surely, 241957960 is an apocalyptic number.

41957960 is a gapful number since it is divisible by the number (40) 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 41957960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51889950).

41957960 is an abundant number, since it is smaller than the sum of its proper divisors (61821940).

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

41957960 is a wasteful number, since it uses less digits than its factorization.

41957960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 41957960 is about 6477.4964299488. The cubic root of 41957960 is about 347.4866478661.

The spelling of 41957960 in words is "forty-one million, nine hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 8669 17338 34676 43345 69352 86690 95359 173380 190718 346760 381436 476795 762872 953590 1048949 1907180 2097898 3814360 4195796 5244745 8391592 10489490 20978980 41957960