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40975008 = 2531073989
BaseRepresentation
bin1001110001001…
…1101010100000
32212002202010220
42130103222200
540442200013
64022123040
71005165444
oct234235240
985082126
1040975008
1121147148
1211880480
138648589
145628824
1538e5b23
hex2713aa0

40975008 has 48 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 13527296.

The previous prime is 40975007. The next prime is 40975013. The reversal of 40975008 is 80057904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40975008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40975003) 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 7 ways as a sum of consecutive naturals, for example, 8278 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 240975008 is an apocalyptic number.

40975008 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 40975008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

40975008 is an abundant number, since it is smaller than the sum of its proper divisors (67616832).

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

40975008 is a wasteful number, since it uses less digits than its factorization.

40975008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 40975008 is about 6401.1723926168. The cubic root of 40975008 is about 344.7516465087.

The spelling of 40975008 in words is "forty million, nine hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 3989 5136 7978 10272 11967 15956 23934 31912 47868 63824 95736 127648 191472 382944 426823 853646 1280469 1707292 2560938 3414584 5121876 6829168 10243752 13658336 20487504 40975008