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40836096 = 210337211
BaseRepresentation
bin1001101111000…
…1110000000000
32211211200121000
42123301300000
540423223341
64015132000
71004046450
oct233616000
984750530
1040836096
1121061844
1211814000
1385ca292
1455cdd60
1538b98b6
hex26f1c00

40836096 has 176 divisors, whose sum is σ = 138868480. Its totient is φ = 11612160.

The previous prime is 40836077. The next prime is 40836097. The reversal of 40836096 is 69063804.

40836096 is a `hidden beast` number, since 40 + 8 + 3 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40836096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40836097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193431 + ... + 193641.

Almost surely, 240836096 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 40836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69434240).

40836096 is an abundant number, since it is smaller than the sum of its proper divisors (98032384).

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

40836096 is a wasteful number, since it uses less digits than its factorization.

40836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40836096 is about 6390.3126684068. The cubic root of 40836096 is about 344.3616172063.

The spelling of 40836096 in words is "forty million, eight hundred thirty-six thousand, ninety-six".