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95036128 = 2511377297
BaseRepresentation
bin1011010101000…
…10001011100000
320121211100001121
411222202023200
5143312124003
613232542024
72232536155
oct552421340
9217740047
1095036128
1149711060
12279b1914
13168c62c5
14c89c22c
158523cbd
hex5aa22e0

95036128 has 48 divisors (see below), whose sum is σ = 209656944. Its totient is φ = 42024960.

The previous prime is 95036093. The next prime is 95036129. The reversal of 95036128 is 82163059.

It is a junction number, because it is equal to n+sod(n) for n = 95036093 and 95036102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95036129) 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 7 ways as a sum of consecutive naturals, for example, 9376 + ... + 16672.

It is an arithmetic number, because the mean of its divisors is an integer number (4367853).

Almost surely, 295036128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95036128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104828472).

95036128 is an abundant number, since it is smaller than the sum of its proper divisors (114620816).

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

95036128 is a wasteful number, since it uses less digits than its factorization.

95036128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 95036128 is about 9748.6474959350. The cubic root of 95036128 is about 456.3480978032.

The spelling of 95036128 in words is "ninety-five million, thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 7297 13024 14594 29188 58376 80267 116752 160534 233504 269989 321068 539978 642136 1079956 1284272 2159912 2568544 2969879 4319824 5939758 8639648 11879516 23759032 47518064 95036128