Search a number
-
+
41990076 = 2234192359
BaseRepresentation
bin1010000000101…
…1011110111100
32221000022120000
42200023132330
541222140301
64055554300
71016624022
oct240133674
987008500
1041990076
112177a847
121208b990
1389125cb
145810712
153a46786
hex280b7bc

41990076 has 90 divisors (see below), whose sum is σ = 116174520. Its totient is φ = 13223088.

The previous prime is 41990071. The next prime is 41990077. The reversal of 41990076 is 67009914.

41990076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41990076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41990071) 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 29 ways as a sum of consecutive naturals, for example, 116785 + ... + 117143.

It is an arithmetic number, because the mean of its divisors is an integer number (1290828).

Almost surely, 241990076 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 41990076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58087260).

41990076 is an abundant number, since it is smaller than the sum of its proper divisors (74184444).

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

41990076 is a wasteful number, since it uses less digits than its factorization.

41990076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 41990076 is about 6479.9749999518. The cubic root of 41990076 is about 347.5752844841.

The spelling of 41990076 in words is "forty-one million, nine hundred ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 359 361 513 684 718 722 1026 1077 1083 1436 1444 1539 2052 2154 2166 3078 3231 3249 4308 4332 6156 6462 6498 6821 9693 9747 12924 12996 13642 19386 19494 20463 27284 29079 29241 38772 38988 40926 58158 58482 61389 81852 116316 116964 122778 129599 184167 245556 259198 368334 388797 518396 552501 736668 777594 1105002 1166391 1555188 2210004 2332782 3499173 4665564 6998346 10497519 13996692 20995038 41990076