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40180993 is a prime number
BaseRepresentation
bin1001100101000…
…1110100000001
32210121101221221
42121101310001
540241242433
63553115041
7665350516
oct231216401
983541857
1040180993
1120754636
1211558a81
13842b048
14549d30d
1537da72d
hex2651d01

40180993 has 2 divisors, whose sum is σ = 40180994. Its totient is φ = 40180992.

The previous prime is 40180957. The next prime is 40180999. The reversal of 40180993 is 39908104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 15499969 = 4968^2 + 3937^2 .

It is a cyclic number.

It is not a de Polignac number, because 40180993 - 217 = 40049921 is a prime.

It is a super-2 number, since 2×401809932 = 3229024396932098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40180999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20090496 + 20090497.

It is an arithmetic number, because the mean of its divisors is an integer number (20090497).

Almost surely, 240180993 is an apocalyptic number.

It is an amenable number.

40180993 is a deficient number, since it is larger than the sum of its proper divisors (1).

40180993 is an equidigital number, since it uses as much as digits as its factorization.

40180993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 40180993 is about 6338.8479237161. The cubic root of 40180993 is about 342.5102360768.

The spelling of 40180993 in words is "forty million, one hundred eighty thousand, nine hundred ninety-three".