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95838468 = 223111096661
BaseRepresentation
bin1011011011001…
…10000100000100
320200100002122220
411231212010010
5144013312333
613302052340
72242420305
oct555460404
9220302586
1095838468
114a109950
122811a0b0
1316b1756b
14ca2a7ac
1586318b3
hex5b66104

95838468 has 48 divisors (see below), whose sum is σ = 246227520. Its totient is φ = 28771200.

The previous prime is 95838467. The next prime is 95838481. The reversal of 95838468 is 86483859.

It is a self number, because there is not a number n which added to its sum of digits gives 95838468.

It is not an unprimeable number, because it can be changed into a prime (95838467) 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 15 ways as a sum of consecutive naturals, for example, 11058 + ... + 17718.

It is an arithmetic number, because the mean of its divisors is an integer number (5129740).

Almost surely, 295838468 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 95838468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123113760).

95838468 is an abundant number, since it is smaller than the sum of its proper divisors (150389052).

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

95838468 is a wasteful number, since it uses less digits than its factorization.

95838468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 6786 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 95838468 is about 9789.7123553248. The cubic root of 95838468 is about 457.6287362042.

The spelling of 95838468 in words is "ninety-five million, eight hundred thirty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 6661 7194 13322 14388 19983 26644 39966 73271 79932 146542 219813 293084 439626 726049 879252 1452098 2178147 2904196 4356294 7986539 8712588 15973078 23959617 31946156 47919234 95838468