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40064164 = 2272712879
BaseRepresentation
bin1001100011010…
…1010010100100
32210101110200221
42120311102210
540224023124
63550414124
7664353100
oct230652244
983343627
1040064164
1120684888
1211501344
1383b9b0a
14546c900
1537b5ce4
hex26354a4

40064164 has 36 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 16922640.

The previous prime is 40064161. The next prime is 40064197. The reversal of 40064164 is 46146004.

It is not an unprimeable number, because it can be changed into a prime (40064161) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12477 + ... + 15355.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 240064164 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 40064164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

40064164 is an abundant number, since it is smaller than the sum of its proper divisors (42672476).

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

40064164 is a wasteful number, since it uses less digits than its factorization.

40064164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40064164 is about 6329.6258973181. The cubic root of 40064164 is about 342.1779564723.

The spelling of 40064164 in words is "forty million, sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 2879 3479 5758 6958 11516 13916 20153 40306 80612 141071 204409 282142 408818 564284 817636 1430863 2861726 5723452 10016041 20032082 40064164