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40668384 = 253537993
BaseRepresentation
bin1001101100100…
…0110011100000
32211112011112110
42123020303200
540402342014
64011355320
71002450501
oct233106340
984464473
1040668384
1120a57839
1211752b40
13856bb43
145588ba8
153884d59
hex26c8ce0

40668384 has 48 divisors (see below), whose sum is σ = 108782352. Its totient is φ = 13298688.

The previous prime is 40668367. The next prime is 40668391. The reversal of 40668384 is 48386604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1092 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (2266299).

Almost surely, 240668384 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 40668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54391176).

40668384 is an abundant number, since it is smaller than the sum of its proper divisors (68113968).

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

40668384 is a wasteful number, since it uses less digits than its factorization.

40668384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 40668384 is about 6377.1768048252. The cubic root of 40668384 is about 343.8895444906.

The spelling of 40668384 in words is "forty million, six hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 7993 15986 23979 31972 47958 63944 95916 127888 191832 255776 383664 423629 767328 847258 1270887 1694516 2541774 3389032 5083548 6778064 10167096 13556128 20334192 40668384