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40938450 = 23527127307
BaseRepresentation
bin1001110000101…
…0101111010010
32212000212222220
42130022233102
540440012300
64021241510
71004654040
oct234125722
985025886
1040938450
1121121733
1211863296
138634a47
145619390
1538d9da0
hex270abd2

40938450 has 96 divisors (see below), whose sum is σ = 117325824. Its totient is φ = 9253440.

The previous prime is 40938449. The next prime is 40938463. The reversal of 40938450 is 5483904.

40938450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133197 + ... + 133503.

It is an arithmetic number, because the mean of its divisors is an integer number (1222144).

Almost surely, 240938450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40938450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58662912).

40938450 is an abundant number, since it is smaller than the sum of its proper divisors (76387374).

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

40938450 is a wasteful number, since it uses less digits than its factorization.

40938450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 40938450 is about 6398.3161847474. The cubic root of 40938450 is about 344.6490865871.

The spelling of 40938450 in words is "forty million, nine hundred thirty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 127 150 175 210 254 307 350 381 525 614 635 762 889 921 1050 1270 1535 1778 1842 1905 2149 2667 3070 3175 3810 4298 4445 4605 5334 6350 6447 7675 8890 9210 9525 10745 12894 13335 15350 19050 21490 22225 23025 26670 32235 38989 44450 46050 53725 64470 66675 77978 107450 116967 133350 161175 194945 233934 272923 322350 389890 545846 584835 818769 974725 1169670 1364615 1637538 1949450 2729230 2924175 4093845 5848350 6823075 8187690 13646150 20469225 40938450