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40712238 = 23272311489
BaseRepresentation
bin1001101101001…
…1100000101110
32211121101200200
42123103200232
540410242423
64012334330
71003022400
oct233234056
984541620
1040712238
1120a87786
12117743a6
138585aa8
14559ab70
153892d43
hex26d382e

40712238 has 72 divisors (see below), whose sum is σ = 105992640. Its totient is φ = 11249280.

The previous prime is 40712237. The next prime is 40712251. The reversal of 40712238 is 83221704.

40712238 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40712237) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 26598 + ... + 28086.

It is an arithmetic number, because the mean of its divisors is an integer number (1472120).

Almost surely, 240712238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40712238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52996320).

40712238 is an abundant number, since it is smaller than the sum of its proper divisors (65280402).

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

40712238 is a wasteful number, since it uses less digits than its factorization.

40712238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40712238 is about 6380.6142337552. The cubic root of 40712238 is about 344.0131090642.

It can be divided in two parts, 4071223 and 8, that added together give a triangular number (4071231 = T2853).

The spelling of 40712238 in words is "forty million, seven hundred twelve thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1489 1519 1953 2978 3038 3906 4467 4557 8934 9114 10423 13401 13671 20846 26802 27342 31269 46159 62538 72961 92318 93807 138477 145922 187614 218883 276954 323113 415431 437766 646226 656649 830862 969339 1313298 1938678 2261791 2908017 4523582 5816034 6785373 13570746 20356119 40712238