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95809056 = 2537142573
BaseRepresentation
bin1011011010111…
…10111000100000
320200021121022120
411231132320200
5144011342211
613301304240
72242235460
oct555367040
9220247276
1095809056
114a099842
1228105080
1316b07065
14ca1dba0
158627d06
hex5b5ee20

95809056 has 48 divisors (see below), whose sum is σ = 287429184. Its totient is φ = 27373824.

The previous prime is 95809019. The next prime is 95809057. The reversal of 95809056 is 65090859.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×958090562 = 18358750423222272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 95808999 and 95809017.

It is not an unprimeable number, because it can be changed into a prime (95809057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70615 + ... + 71958.

It is an arithmetic number, because the mean of its divisors is an integer number (5988108).

Almost surely, 295809056 is an apocalyptic number.

95809056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

95809056 is an abundant number, since it is smaller than the sum of its proper divisors (191620128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95809056 is a wasteful number, since it uses less digits than its factorization.

95809056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142593 (or 142585 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 95809056 is about 9788.2100508724. The cubic root of 95809056 is about 457.5819173091.

The spelling of 95809056 in words is "ninety-five million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 142573 285146 427719 570292 855438 998011 1140584 1710876 1996022 2281168 2994033 3421752 3992044 4562336 5988066 6843504 7984088 11976132 13687008 15968176 23952264 31936352 47904528 95809056