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89906949 = 33111032939
BaseRepresentation
bin1010101101111…
…01111100000101
320021011202011000
411112331330011
5141004010244
612531003513
72141124246
oct526757405
9207152130
1089906949
1146828470
1226139599
131581b7a2
14bd24ccd
157d5e169
hex55bdf05

89906949 has 32 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 53941680.

The previous prime is 89906909. The next prime is 89906951. The reversal of 89906949 is 94960998.

It is a happy number.

It is not a de Polignac number, because 89906949 - 29 = 89906437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89906895 and 89906904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89906909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29122 + ... + 32060.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 289906949 is an apocalyptic number.

It is an amenable number.

89906949 is a deficient number, since it is larger than the sum of its proper divisors (56857851).

89906949 is a wasteful number, since it uses less digits than its factorization.

89906949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 89906949 is about 9481.9274939223. The cubic root of 89906949 is about 447.9859772529.

The spelling of 89906949 in words is "eighty-nine million, nine hundred six thousand, nine hundred forty-nine".

Divisors: 1 3 9 11 27 33 99 103 297 309 927 1133 2781 2939 3399 8817 10197 26451 30591 32329 79353 96987 290961 302717 872883 908151 2724453 3329887 8173359 9989661 29968983 89906949