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99938553 = 31113292277
BaseRepresentation
bin1011111010011…
…11000011111001
320222001101220220
411331033003321
5201041013203
613530010253
72322315021
oct575170371
9228041826
1099938553
115145a350
1229576989
1317921850
14d3b6a81
158b91653
hex5f4f0f9

99938553 has 48 divisors (see below), whose sum is σ = 162716736. Its totient is φ = 53786880.

The previous prime is 99938551. The next prime is 99938569. The reversal of 99938553 is 35583999.

It is not a de Polignac number, because 99938553 - 21 = 99938551 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 99938496 and 99938505.

It is not an unprimeable number, because it can be changed into a prime (99938551) 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 47 ways as a sum of consecutive naturals, for example, 360651 + ... + 360927.

It is an arithmetic number, because the mean of its divisors is an integer number (3389932).

Almost surely, 299938553 is an apocalyptic number.

It is an amenable number.

99938553 is a deficient number, since it is larger than the sum of its proper divisors (62778183).

99938553 is a wasteful number, since it uses less digits than its factorization.

99938553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 333 counting only the distinct ones).

The product of its digits is 1312200, while the sum is 51.

The square root of 99938553 is about 9996.9271778882. The cubic root of 99938553 is about 464.0637933123.

The spelling of 99938553 in words is "ninety-nine million, nine hundred thirty-eight thousand, five hundred fifty-three".

Divisors: 1 3 11 13 29 33 39 87 143 277 319 377 429 831 841 957 1131 2523 3047 3601 4147 8033 9141 9251 10803 10933 12441 24099 27753 32799 39611 88363 104429 118833 120263 232957 265089 313287 360789 698871 1148719 2562527 3028441 3446157 7687581 9085323 33312851 99938553