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99617157 = 3253972153
BaseRepresentation
bin1011111000000…
…00100110000101
320221110002001100
411330000212011
5201000222112
613515050313
72316506013
oct574004605
9227402040
1099617157
115125a932
1229440999
131783b483
14d3318b3
158b2b2dc
hex5f00985

99617157 has 24 divisors (see below), whose sum is σ = 148186584. Its totient is φ = 64456704.

The previous prime is 99617153. The next prime is 99617173. The reversal of 99617157 is 75171699.

It can be written as a sum of positive squares in 4 ways, for example, as 5022081 + 94595076 = 2241^2 + 9726^2 .

It is not a de Polignac number, because 99617157 - 22 = 99617153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99617153) 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 23 ways as a sum of consecutive naturals, for example, 45193 + ... + 47345.

It is an arithmetic number, because the mean of its divisors is an integer number (6174441).

Almost surely, 299617157 is an apocalyptic number.

99617157 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

99617157 is a deficient number, since it is larger than the sum of its proper divisors (48569427).

99617157 is a wasteful number, since it uses less digits than its factorization.

99617157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2306 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 99617157 is about 9980.8394937500. The cubic root of 99617157 is about 463.5657925827.

The spelling of 99617157 in words is "ninety-nine million, six hundred seventeen thousand, one hundred fifty-seven".

Divisors: 1 3 9 53 97 159 291 477 873 2153 5141 6459 15423 19377 46269 114109 208841 342327 626523 1026981 1879569 11068573 33205719 99617157