Search a number
-
+
95498016 = 2537313627
BaseRepresentation
bin1011011000100…
…10111100100000
320122200210122120
411230102330200
5143421414031
613250504240
72236501605
oct554227440
9218623576
1095498016
11499a7089
1227b95080
1316a28603
14c97c6ac
1585b5a96
hex5b12f20

95498016 has 48 divisors (see below), whose sum is σ = 254134944. Its totient is φ = 31394304.

The previous prime is 95498003. The next prime is 95498017. The reversal of 95498016 is 61089459.

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

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 not an unprimeable number, because it can be changed into a prime (95498017) 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, 195 + ... + 13821.

It is an arithmetic number, because the mean of its divisors is an integer number (5294478).

Almost surely, 295498016 is an apocalyptic number.

95498016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127067472).

95498016 is an abundant number, since it is smaller than the sum of its proper divisors (158636928).

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

95498016 is a wasteful number, since it uses less digits than its factorization.

95498016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13713 (or 13705 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 95498016 is about 9772.3086320480. The cubic root of 95498016 is about 457.0862071170.

The spelling of 95498016 in words is "ninety-five million, four hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 13627 27254 40881 54508 81762 109016 163524 218032 327048 436064 654096 994771 1308192 1989542 2984313 3979084 5968626 7958168 11937252 15916336 23874504 31832672 47749008 95498016