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40709312 = 267891021
BaseRepresentation
bin1001101101001…
…0110011000000
32211121020200022
42123102303000
540410144222
64012313012
71003011020
oct233226300
984536608
1040709312
1120a85566
1211772768
138584667
145599a80
153892042
hex26d2cc0

40709312 has 56 divisors (see below), whose sum is σ = 93451680. Its totient is φ = 17233920.

The previous prime is 40709219. The next prime is 40709329. The reversal of 40709312 is 21390704.

It is a tau number, because it is divible by the number of its divisors (56).

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, 39362 + ... + 40382.

It is an arithmetic number, because the mean of its divisors is an integer number (1668780).

Almost surely, 240709312 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 40709312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46725840).

40709312 is an abundant number, since it is smaller than the sum of its proper divisors (52742368).

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

40709312 is a wasteful number, since it uses less digits than its factorization.

40709312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 40709312 is about 6380.3849413652. The cubic root of 40709312 is about 344.0048674271.

The spelling of 40709312 in words is "forty million, seven hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 356 448 623 712 1021 1246 1424 2042 2492 2848 4084 4984 5696 7147 8168 9968 14294 16336 19936 28588 32672 39872 57176 65344 90869 114352 181738 228704 363476 457408 636083 726952 1272166 1453904 2544332 2907808 5088664 5815616 10177328 20354656 40709312