Search a number
-
+
95414048 = 25191391129
BaseRepresentation
bin1011010111111…
…10011100100000
320122112112110122
411223332130200
5143411222143
613245015412
72236002032
oct553763440
9218475418
1095414048
1149949a94
1227b54568
13169c9322
14c959c52
15859ac68
hex5afe720

95414048 has 48 divisors (see below), whose sum is σ = 199332000. Its totient is φ = 44831232.

The previous prime is 95414041. The next prime is 95414057. The reversal of 95414048 is 84041459.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 95413999 and 95414017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95414041) 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, 83948 + ... + 85076.

It is an arithmetic number, because the mean of its divisors is an integer number (4152750).

Almost surely, 295414048 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 95414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99666000).

95414048 is an abundant number, since it is smaller than the sum of its proper divisors (103917952).

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

95414048 is a wasteful number, since it uses less digits than its factorization.

95414048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 95414048 is about 9768.0114660047. The cubic root of 95414048 is about 456.9522012998.

The spelling of 95414048 in words is "ninety-five million, four hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 139 152 278 304 556 608 1112 1129 2224 2258 2641 4448 4516 5282 9032 10564 18064 21128 21451 36128 42256 42902 84512 85804 156931 171608 313862 343216 627724 686432 1255448 2510896 2981689 5021792 5963378 11926756 23853512 47707024 95414048