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40809252 = 223111013061
BaseRepresentation
bin1001101110101…
…1001100100100
32211210022202210
42123223030210
540421344002
64014403420
71003605261
oct233531444
984708683
1040809252
1121043660
1211800570
1385bacb3
1455c4268
1538b196c
hex26eb324

40809252 has 48 divisors (see below), whose sum is σ = 104940864. Its totient is φ = 12240000.

The previous prime is 40809239. The next prime is 40809257. The reversal of 40809252 is 25290804.

40809252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40809257) 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 15 ways as a sum of consecutive naturals, for example, 11802 + ... + 14862.

It is an arithmetic number, because the mean of its divisors is an integer number (2186268).

Almost surely, 240809252 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 40809252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52470432).

40809252 is an abundant number, since it is smaller than the sum of its proper divisors (64131612).

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

40809252 is a wasteful number, since it uses less digits than its factorization.

40809252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40809252 is about 6388.2119564085. The cubic root of 40809252 is about 344.2861441938.

The spelling of 40809252 in words is "forty million, eight hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3061 3333 4444 6122 6666 9183 12244 13332 18366 33671 36732 67342 101013 134684 202026 309161 404052 618322 927483 1236644 1854966 3400771 3709932 6801542 10202313 13603084 20404626 40809252