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40382874 = 2347149239
BaseRepresentation
bin1001101000001…
…1000110011010
32210222122220000
42122003012122
540314222444
64001313430
71000151220
oct232030632
983878800
1040382874
1120882284
1211635876
13849bbbc
145512b10
15382a469
hex268319a

40382874 has 80 divisors (see below), whose sum is σ = 104544000. Its totient is φ = 11412576.

The previous prime is 40382857. The next prime is 40382893. The reversal of 40382874 is 47828304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168847 + ... + 169085.

It is an arithmetic number, because the mean of its divisors is an integer number (1306800).

Almost surely, 240382874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40382874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272000).

40382874 is an abundant number, since it is smaller than the sum of its proper divisors (64161126).

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

40382874 is a wasteful number, since it uses less digits than its factorization.

40382874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

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

The square root of 40382874 is about 6354.7520801366. The cubic root of 40382874 is about 343.0829017598.

The spelling of 40382874 in words is "forty million, three hundred eighty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 149 162 189 239 298 378 447 478 567 717 894 1043 1134 1341 1434 1673 2086 2151 2682 3129 3346 4023 4302 5019 6258 6453 8046 9387 10038 12069 12906 15057 18774 19359 24138 28161 30114 35611 38718 45171 56322 71222 84483 90342 106833 135513 168966 213666 249277 271026 320499 498554 640998 747831 961497 1495662 1922994 2243493 2884491 4486986 5768982 6730479 13460958 20191437 40382874