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40609536 = 2831121923
BaseRepresentation
bin1001101011101…
…0011100000000
32211102011210220
42122322130000
540344001121
64010223040
71002114102
oct232723400
984364726
1040609536
1120a17600
1211724a80
13854b116
145571572
1538726c6
hex26ba700

40609536 has 216 divisors, whose sum is σ = 130488960. Its totient is φ = 11151360.

The previous prime is 40609531. The next prime is 40609537. The reversal of 40609536 is 63590604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40609497 and 40609506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40609531) 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 23 ways as a sum of consecutive naturals, for example, 1765621 + ... + 1765643.

Almost surely, 240609536 is an apocalyptic number.

40609536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65244480).

40609536 is an abundant number, since it is smaller than the sum of its proper divisors (89879424).

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

40609536 is a wasteful number, since it uses less digits than its factorization.

40609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 40609536 is about 6372.5611805615. The cubic root of 40609536 is about 343.7235926381.

The spelling of 40609536 in words is "forty million, six hundred nine thousand, five hundred thirty-six".