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99997975 = 52721141181
BaseRepresentation
bin1011111010111…
…01100100010111
320222011102102201
411331131210113
5201044413400
613531145331
72322653200
oct575354427
9228142381
1099997975
115149aa60
12295a5247
13179428cc
14d3d05a7
158ba406a
hex5f5d917

99997975 has 72 divisors (see below), whose sum is σ = 162083376. Its totient is φ = 60480000.

The previous prime is 99997973. The next prime is 99997981. The reversal of 99997975 is 57979999.

99997975 = 1863 + 1873 + ... + 1993.

It is not a de Polignac number, because 99997975 - 21 = 99997973 is a prime.

Its product of digits (14467005) is a multiple of the sum of its prime divisors (245).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99997973) 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 71 ways as a sum of consecutive naturals, for example, 552385 + ... + 552565.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 299997975 is an apocalyptic number.

99997975 is a deficient number, since it is larger than the sum of its proper divisors (62085401).

99997975 is a wasteful number, since it uses less digits than its factorization.

99997975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 14467005, while the sum is 64.

The square root of 99997975 is about 9999.8987494874. The cubic root of 99997975 is about 464.1557502677.

The spelling of 99997975 in words is "ninety-nine million, nine hundred ninety-seven thousand, nine hundred seventy-five".

Divisors: 1 5 7 11 25 35 41 49 55 77 175 181 205 245 275 287 385 451 539 905 1025 1225 1267 1435 1925 1991 2009 2255 2695 3157 4525 6335 7175 7421 8869 9955 10045 11275 13475 13937 15785 22099 31675 37105 44345 49775 50225 51947 69685 78925 81631 97559 110495 185525 221725 259735 348425 363629 408155 487795 552475 571417 1298675 1818145 2040775 2438975 2857085 3999919 9090725 14285425 19999595 99997975