Search a number
-
+
41400996 = 223713311223
BaseRepresentation
bin1001110111101…
…1101010100100
32212220101111020
42131323222210
541044312441
64035211140
71011621420
oct235735244
985811436
1041400996
11214081aa
1211a46ab0
138767440
1456d9b80
15397be66
hex277baa4

41400996 has 96 divisors (see below), whose sum is σ = 122830848. Its totient is φ = 10558080.

The previous prime is 41400923. The next prime is 41401013. The reversal of 41400996 is 69900414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33241 + ... + 34463.

It is an arithmetic number, because the mean of its divisors is an integer number (1279488).

Almost surely, 241400996 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 41400996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424).

41400996 is an abundant number, since it is smaller than the sum of its proper divisors (81429852).

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

41400996 is a wasteful number, since it uses less digits than its factorization.

41400996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 41400996 is about 6434.3605742917. The cubic root of 41400996 is about 345.9422425783.

The spelling of 41400996 in words is "forty-one million, four hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1223 1302 1612 2418 2446 2604 2821 3669 4836 4892 5642 7338 8463 8561 11284 14676 15899 16926 17122 25683 31798 33852 34244 37913 47697 51366 63596 75826 95394 102732 111293 113739 151652 190788 222586 227478 265391 333879 445172 454956 492869 530782 667758 796173 985738 1061564 1335516 1478607 1592346 1971476 2957214 3184692 3450083 5914428 6900166 10350249 13800332 20700498 41400996