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41980464 = 243397177
BaseRepresentation
bin1010000000100…
…1001000110000
32220222211101000
42200021020300
541221333324
64055442000
71016554011
oct240111060
986884330
1041980464
11217735a9
1212086300
13890b116
14580b008
153a439c9
hex2809230

41980464 has 40 divisors (see below), whose sum is σ = 120500720. Its totient is φ = 13993344.

The previous prime is 41980453. The next prime is 41980489. The reversal of 41980464 is 46408914.

It is a happy number.

41980464 is a `hidden beast` number, since 4 + 198 + 0 + 464 = 666.

It is a super-3 number, since 3×419804643 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48157 + ... + 49020.

It is an arithmetic number, because the mean of its divisors is an integer number (3012518).

Almost surely, 241980464 is an apocalyptic number.

It is an amenable number.

41980464 is an abundant number, since it is smaller than the sum of its proper divisors (78520256).

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

41980464 is a wasteful number, since it uses less digits than its factorization.

41980464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97194 (or 97182 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41980464 is about 6479.2332879747. The cubic root of 41980464 is about 347.5487611647.

The spelling of 41980464 in words is "forty-one million, nine hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 97177 194354 291531 388708 583062 777416 874593 1166124 1554832 1749186 2332248 2623779 3498372 4664496 5247558 6996744 10495116 13993488 20990232 41980464