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95449040 = 24510111813
BaseRepresentation
bin1011011000001…
…10111111010000
320122121022110122
411230012333100
5143413332130
613245445412
72236206041
oct554067720
9218538418
1095449040
1149973305
1227b70868
1316a0c22b
14c9688c8
1585a62e5
hex5b06fd0

95449040 has 40 divisors (see below), whose sum is σ = 224135208. Its totient is φ = 37798400.

The previous prime is 95449021. The next prime is 95449073. The reversal of 95449040 is 4094459.

It can be written as a sum of positive squares in 4 ways, for example, as 26956864 + 68492176 = 5192^2 + 8276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×954490402 = 18221038473843200, 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 7 ways as a sum of consecutive naturals, for example, 2174 + ... + 13986.

Almost surely, 295449040 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 95449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112067604).

95449040 is an abundant number, since it is smaller than the sum of its proper divisors (128686168).

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

95449040 is a wasteful number, since it uses less digits than its factorization.

95449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 95449040 is about 9769.8024545023. The cubic root of 95449040 is about 457.0080551196.

It can be divided in two parts, 954 and 49040, that added together give a palindrome (49994).

The spelling of 95449040 in words is "ninety-five million, four hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 11813 23626 47252 59065 94504 118130 189008 236260 472520 945040 1193113 2386226 4772452 5965565 9544904 11931130 19089808 23862260 47724520 95449040