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40746064 = 2423263421
BaseRepresentation
bin1001101101101…
…1110001010000
32211200010002111
42123123301100
540412333224
64013155104
71003223122
oct233336120
984603074
1040746064
1121000137
121178ba94
1385982c8
1455a9212
15389cd94
hex26dbc50

40746064 has 40 divisors (see below), whose sum is σ = 82887552. Its totient is φ = 19367040.

The previous prime is 40746037. The next prime is 40746071. The reversal of 40746064 is 46064704.

40746064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 96574 + ... + 96994.

Almost surely, 240746064 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 40746064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41443776).

40746064 is an abundant number, since it is smaller than the sum of its proper divisors (42141488).

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

40746064 is a wasteful number, since it uses less digits than its factorization.

40746064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 40746064 is about 6383.2643686440. The cubic root of 40746064 is about 344.1083577880.

The spelling of 40746064 in words is "forty million, seven hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 263 368 421 526 842 1052 1684 2104 3368 4208 6049 6736 9683 12098 19366 24196 38732 48392 77464 96784 110723 154928 221446 442892 885784 1771568 2546629 5093258 10186516 20373032 40746064