Search a number
-
+
95378008 = 23112372663
BaseRepresentation
bin1011010111101…
…01101001011000
320122110201000211
411223311221120
5143404044013
613244140504
72235461665
oct553655130
9218421024
1095378008
1149924a00
1227b37734
13169b5abb
14c94aa6c
15859023d
hex5af5a58

95378008 has 48 divisors (see below), whose sum is σ = 201957840. Its totient is φ = 42166080.

The previous prime is 95377991. The next prime is 95378011. The reversal of 95378008 is 80087359.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34485 + ... + 37147.

It is an arithmetic number, because the mean of its divisors is an integer number (4207455).

Almost surely, 295378008 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 95378008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100978920).

95378008 is an abundant number, since it is smaller than the sum of its proper divisors (106579832).

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

95378008 is a wasteful number, since it uses less digits than its factorization.

95378008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 95378008 is about 9766.1664945873. The cubic root of 95378008 is about 456.8946603973.

It can be divided in two parts, 953 and 78008, that added together give a square (78961 = 2812).

The spelling of 95378008 in words is "ninety-five million, three hundred seventy-eight thousand, eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 968 1628 2663 3256 4477 5326 8954 10652 17908 21304 29293 35816 58586 98531 117172 197062 234344 322223 394124 644446 788248 1083841 1288892 2167682 2577784 4335364 8670728 11922251 23844502 47689004 95378008