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40649148 = 2233894229
BaseRepresentation
bin1001101100010…
…0000110111100
32211111012011000
42123010012330
540401233043
64011130300
71002340431
oct233040674
984435130
1040649148
1120a44341
1211743990
138563167
145581b88
15387e2d3
hex26c41bc

40649148 has 48 divisors (see below), whose sum is σ = 106596000. Its totient is φ = 13394304.

The previous prime is 40649143. The next prime is 40649149. The reversal of 40649148 is 84194604.

It is a happy number.

40649148 is a `hidden beast` number, since 4 + 0 + 649 + 1 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40649143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7498 + ... + 11726.

It is an arithmetic number, because the mean of its divisors is an integer number (2220750).

Almost surely, 240649148 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 40649148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53298000).

40649148 is an abundant number, since it is smaller than the sum of its proper divisors (65946852).

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

40649148 is a wasteful number, since it uses less digits than its factorization.

40649148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40649148 is about 6375.6684355446. The cubic root of 40649148 is about 343.8353164321.

The spelling of 40649148 in words is "forty million, six hundred forty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4229 4806 8458 9612 12687 16916 25374 38061 50748 76122 114183 152244 228366 376381 456732 752762 1129143 1505524 2258286 3387429 4516572 6774858 10162287 13549716 20324574 40649148