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99416349 = 3331412897
BaseRepresentation
bin1011110110011…
…11100100011101
320221001212121000
411323033210131
5200422310344
613510500513
72315011404
oct573174435
9227055530
1099416349
1151132a7a
1229364739
131779ac56
14d2bc63b
158adba69
hex5ecf91d

99416349 has 32 divisors (see below), whose sum is σ = 155796480. Its totient is φ = 62553600.

The previous prime is 99416333. The next prime is 99416371. The reversal of 99416349 is 94361499.

99416349 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 634 + 9 = 666.

It is not a de Polignac number, because 99416349 - 24 = 99416333 is a prime.

It is a super-2 number, since 2×994163492 = 19767220896979602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99416309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32869 + ... + 35765.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 299416349 is an apocalyptic number.

It is an amenable number.

99416349 is a deficient number, since it is larger than the sum of its proper divisors (56380131).

99416349 is a wasteful number, since it uses less digits than its factorization.

99416349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 99416349 is about 9970.7747442212. The cubic root of 99416349 is about 463.2540981541.

It can be divided in two parts, 9941 and 6349, that added together give a triangular number (16290 = T180).

The spelling of 99416349 in words is "ninety-nine million, four hundred sixteen thousand, three hundred forty-nine".

Divisors: 1 3 9 27 31 41 93 123 279 369 837 1107 1271 2897 3813 8691 11439 26073 34317 78219 89807 118777 269421 356331 808263 1068993 2424789 3206979 3682087 11046261 33138783 99416349