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41912964 = 2234129361
BaseRepresentation
bin1001111111100…
…0101010000100
32220212101210000
42133320222010
541212203324
64054201300
71016153142
oct237705204
986771700
1041912964
1121727915
1212053230
1388b6492
1457d0592
153a2d9c9
hex27f8a84

41912964 has 30 divisors (see below), whose sum is σ = 109569614. Its totient is φ = 13970880.

The previous prime is 41912963. The next prime is 41912977. The reversal of 41912964 is 46921914.

It is a happy number.

41912964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 3572100 = 6192^2 + 1890^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41912963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64357 + ... + 65004.

Almost surely, 241912964 is an apocalyptic number.

It is an amenable number.

41912964 is an abundant number, since it is smaller than the sum of its proper divisors (67656650).

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

41912964 is a wasteful number, since it uses less digits than its factorization.

41912964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129377 (or 129366 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 41912964 is about 6474.0222427792. The cubic root of 41912964 is about 347.3623877595.

The spelling of 41912964 in words is "forty-one million, nine hundred twelve thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 129361 258722 388083 517444 776166 1164249 1552332 2328498 3492747 4656996 6985494 10478241 13970988 20956482 41912964