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40976208 = 24327135359
BaseRepresentation
bin1001110001001…
…1111101010000
32212002210210100
42130103331100
540442214313
64022132400
71005202110
oct234237520
985083710
1040976208
1121148039
1211881100
138648ca0
145629040
1538e6173
hex2713f50

40976208 has 240 divisors, whose sum is σ = 146240640. Its totient is φ = 10423296.

The previous prime is 40976207. The next prime is 40976209. The reversal of 40976208 is 80267904.

40976208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40976207) and next prime (40976209).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40976207) 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 47 ways as a sum of consecutive naturals, for example, 694483 + ... + 694541.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 240976208 is an apocalyptic number.

40976208 is a gapful number since it is divisible by the number (48) 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 40976208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

40976208 is an abundant number, since it is smaller than the sum of its proper divisors (105264432).

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

40976208 is a wasteful number, since it uses less digits than its factorization.

40976208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40976208 is about 6401.2661247600. The cubic root of 40976208 is about 344.7550119580.

The spelling of 40976208 in words is "forty million, nine hundred seventy-six thousand, two hundred eight".