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40971606 = 23132959307
BaseRepresentation
bin1001110001001…
…0110101010110
32212002120110220
42130102311112
540442042411
64022055210
71005152514
oct234226526
985076426
1040971606
1121144635
121187a506
138646b70
1456274b4
1538e4b06
hex2712d56

40971606 has 64 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 11926656.

The previous prime is 40971599. The next prime is 40971629. The reversal of 40971606 is 60617904.

It is a happy number.

40971606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×409716063 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 133305 + ... + 133611.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 240971606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40971606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

40971606 is an abundant number, since it is smaller than the sum of its proper divisors (52167594).

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

40971606 is a wasteful number, since it uses less digits than its factorization.

40971606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 40971606 is about 6400.9066545295. The cubic root of 40971606 is about 344.7421051027.

The spelling of 40971606 in words is "forty million, nine hundred seventy-one thousand, six hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 59 78 87 118 174 177 307 354 377 614 754 767 921 1131 1534 1711 1842 2262 2301 3422 3991 4602 5133 7982 8903 10266 11973 17806 18113 22243 23946 26709 36226 44486 53418 54339 66729 108678 115739 133458 231478 235469 347217 470938 525277 694434 706407 1050554 1412814 1575831 3151662 6828601 13657202 20485803 40971606