Search a number
-
+
95380376 = 23713373541
BaseRepresentation
bin1011010111101…
…10001110011000
320122110211021112
411223312032120
5143404133001
613244155452
72235501620
oct553661630
9218424245
1095380376
1149926763
1227b38b88
13169b6bc0
14c94b880
158590cbb
hex5af6398

95380376 has 64 divisors (see below), whose sum is σ = 226121280. Its totient is φ = 36702720.

The previous prime is 95380367. The next prime is 95380381. The reversal of 95380376 is 67308359.

It is a super-2 number, since 2×953803762 = 18194832251802752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25166 + ... + 28706.

It is an arithmetic number, because the mean of its divisors is an integer number (3533145).

Almost surely, 295380376 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 95380376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113060640).

95380376 is an abundant number, since it is smaller than the sum of its proper divisors (130740904).

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

95380376 is a wasteful number, since it uses less digits than its factorization.

95380376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 95380376 is about 9766.2877287125. The cubic root of 95380376 is about 456.8984415541.

The spelling of 95380376 in words is "ninety-five million, three hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1924 2072 3367 3541 3848 6734 7082 13468 14164 24787 26936 28328 46033 49574 92066 99148 131017 184132 198296 262034 322231 368264 524068 644462 917119 1048136 1288924 1703221 1834238 2577848 3406442 3668476 6812884 7336952 11922547 13625768 23845094 47690188 95380376