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99409653 = 3371923147
BaseRepresentation
bin1011110110011…
…01111011110101
320221001112102000
411323031323311
5200422102103
613510405513
72314653030
oct573157365
9227045360
1099409653
1151128a42
1229360899
1317797ba5
14d2ba017
158ad9aa3
hex5ecdef5

99409653 has 96 divisors (see below), whose sum is σ = 187269120. Its totient is φ = 50971680.

The previous prime is 99409637. The next prime is 99409669. The reversal of 99409653 is 35690499.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99409637) and next prime (99409669).

It is not a de Polignac number, because 99409653 - 24 = 99409637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 99409599 and 99409608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99409153) 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 in 95 ways as a sum of consecutive naturals, for example, 2115076 + ... + 2115122.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 299409653 is an apocalyptic number.

99409653 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

99409653 is a deficient number, since it is larger than the sum of its proper divisors (87859467).

99409653 is a wasteful number, since it uses less digits than its factorization.

99409653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 99409653 is about 9970.4389572375. The cubic root of 99409653 is about 463.2436973863.

The spelling of 99409653 in words is "ninety-nine million, four hundred nine thousand, six hundred fifty-three".

Divisors: 1 3 7 9 19 21 27 31 47 57 63 93 133 141 171 189 217 279 329 361 399 423 513 589 651 837 893 987 1083 1197 1269 1457 1767 1953 2527 2679 2961 3249 3591 4123 4371 5301 5859 6251 7581 8037 8883 9747 10199 11191 12369 13113 15903 16967 18753 22743 24111 27683 30597 33573 37107 39339 50901 56259 68229 78337 83049 91791 100719 111321 118769 152703 168777 193781 235011 249147 275373 302157 356307 458109 525977 581343 705033 747441 1068921 1577931 1744029 2115099 3206763 3681839 4733793 5232087 11045517 14201379 33136551 99409653