Search a number
-
+
41922036 = 22341337269
BaseRepresentation
bin1001111111101…
…0110111110100
32220212212020000
42133322313310
541213001121
64054311300
71016221452
oct237726764
986785200
1041922036
1121733712
1212058530
1388ba650
1457d39d2
153a31526
hex27fadf4

41922036 has 120 divisors (see below), whose sum is σ = 121663080. Its totient is φ = 12503808.

The previous prime is 41922019. The next prime is 41922047. The reversal of 41922036 is 63022914.

41922036 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 40832100 = 1044^2 + 6390^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155710 + ... + 155978.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 241922036 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 41922036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60831540).

41922036 is an abundant number, since it is smaller than the sum of its proper divisors (79741044).

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

41922036 is a wasteful number, since it uses less digits than its factorization.

41922036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 41922036 is about 6474.7228512115. The cubic root of 41922036 is about 347.3874479791.

The spelling of 41922036 in words is "forty-one million, nine hundred twenty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 111 117 148 156 162 222 234 269 324 333 351 444 468 481 538 666 702 807 962 999 1053 1076 1332 1404 1443 1614 1924 1998 2106 2421 2886 2997 3228 3497 3996 4212 4329 4842 5772 5994 6994 7263 8658 9684 9953 10491 11988 12987 13988 14526 17316 19906 20982 21789 25974 29052 29859 31473 38961 39812 41964 43578 51948 59718 62946 77922 87156 89577 94419 119436 125892 129389 155844 179154 188838 258778 268731 283257 358308 377676 388167 517556 537462 566514 776334 806193 1074924 1133028 1164501 1552668 1612386 2329002 3224772 3493503 4658004 6987006 10480509 13974012 20961018 41922036