Search a number
-
+
41924484 = 22327435373
BaseRepresentation
bin1001111111101…
…1011110000100
32220212222120200
42133323132010
541213040414
64054330500
71016231550
oct237733604
986788520
1041924484
1121735538
1212059a30
1388bb7b4
1457d4860
153a32109
hex27fb784

41924484 has 144 divisors (see below), whose sum is σ = 127999872. Its totient is φ = 11321856.

The previous prime is 41924479. The next prime is 41924501. The reversal of 41924484 is 48442914.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574272 + ... + 574344.

It is an arithmetic number, because the mean of its divisors is an integer number (888888).

Almost surely, 241924484 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 41924484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63999936).

41924484 is an abundant number, since it is smaller than the sum of its proper divisors (86075388).

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

41924484 is a wasteful number, since it uses less digits than its factorization.

41924484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41924484 is about 6474.9118912924. The cubic root of 41924484 is about 347.3942096412.

The spelling of 41924484 in words is "forty-one million, nine hundred twenty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 53 63 73 84 86 106 126 129 146 159 172 212 219 252 258 292 301 318 371 387 438 477 511 516 602 636 657 742 774 876 903 954 1022 1113 1204 1314 1484 1533 1548 1806 1908 2044 2226 2279 2628 2709 3066 3139 3339 3612 3869 4452 4558 4599 5418 6132 6278 6678 6837 7738 9116 9198 9417 10836 11607 12556 13356 13674 15476 15953 18396 18834 20511 21973 23214 27083 27348 28251 31906 34821 37668 41022 43946 46428 47859 54166 56502 63812 65919 69642 81249 82044 87892 95718 108332 113004 131838 139284 143577 162498 166367 191436 197757 243747 263676 287154 324996 332734 395514 487494 499101 574308 665468 791028 974988 998202 1164569 1497303 1996404 2329138 2994606 3493707 4658276 5989212 6987414 10481121 13974828 20962242 41924484