Search a number
-
+
41628744 = 23325310909
BaseRepresentation
bin1001111011001…
…1010001001000
32220022221220100
42132303101020
541124104434
64044125400
71013560413
oct236632110
986287810
1041628744
1121553323
1211b36860
138816cc1
145758b7a
1539c4699
hex27b3448

41628744 has 48 divisors (see below), whose sum is σ = 114882300. Its totient is φ = 13613184.

The previous prime is 41628731. The next prime is 41628751. The reversal of 41628744 is 44782614.

It can be written as a sum of positive squares in 2 ways, for example, as 41602500 + 26244 = 6450^2 + 162^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 41628699 and 41628708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639 + ... + 9270.

Almost surely, 241628744 is an apocalyptic number.

It is an amenable number.

41628744 is an abundant number, since it is smaller than the sum of its proper divisors (73253556).

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

41628744 is a wasteful number, since it uses less digits than its factorization.

41628744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 10967 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 41628744 is about 6452.0340978640. The cubic root of 41628744 is about 346.5754288167.

The spelling of 41628744 in words is "forty-one million, six hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 10909 21818 32727 43636 65454 87272 98181 130908 196362 261816 392724 578177 785448 1156354 1734531 2312708 3469062 4625416 5203593 6938124 10407186 13876248 20814372 41628744