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90037949 is a prime number
BaseRepresentation
bin1010101110111…
…01111010111101
320021102101211212
411113131322331
5141022203244
612533454205
72142211211
oct527357275
9207371755
1090037949
1146907931
12261a1365
13158662c1
14bd5a941
157d87d9e
hex55ddebd

90037949 has 2 divisors, whose sum is σ = 90037950. Its totient is φ = 90037948.

The previous prime is 90037943. The next prime is 90037963. The reversal of 90037949 is 94973009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52461049 + 37576900 = 7243^2 + 6130^2 .

It is an emirp because it is prime and its reverse (94973009) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90037949 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90037943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45018974 + 45018975.

It is an arithmetic number, because the mean of its divisors is an integer number (45018975).

Almost surely, 290037949 is an apocalyptic number.

It is an amenable number.

90037949 is a deficient number, since it is larger than the sum of its proper divisors (1).

90037949 is an equidigital number, since it uses as much as digits as its factorization.

90037949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 90037949 is about 9488.8328576280. The cubic root of 90037949 is about 448.2034527785.

The spelling of 90037949 in words is "ninety million, thirty-seven thousand, nine hundred forty-nine".