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95045016 = 233112231423
BaseRepresentation
bin1011010101001…
…00010110011000
320121211210020210
411222210112120
5143312420031
613233051120
72232604113
oct552442630
9217753223
1095045016
1149717800
12279b6aa0
13168ca371
14c8a157a
158526746
hex5aa4598

95045016 has 96 divisors (see below), whose sum is σ = 272724480. Its totient is φ = 27529920.

The previous prime is 95045009. The next prime is 95045017. The reversal of 95045016 is 61054059.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95045017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66081 + ... + 67503.

It is an arithmetic number, because the mean of its divisors is an integer number (2840880).

Almost surely, 295045016 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 95045016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136362240).

95045016 is an abundant number, since it is smaller than the sum of its proper divisors (177679464).

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

95045016 is a wasteful number, since it uses less digits than its factorization.

95045016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 95045016 is about 9749.1033433850. The cubic root of 95045016 is about 456.3623236053.

The spelling of 95045016 in words is "ninety-five million, forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1423 1452 1518 2024 2783 2846 2904 3036 4269 5566 5692 6072 8349 8538 11132 11384 15653 16698 17076 22264 31306 32729 33396 34152 46959 62612 65458 66792 93918 98187 125224 130916 172183 187836 196374 261832 344366 360019 375672 392748 516549 688732 720038 785496 1033098 1080057 1377464 1440076 2066196 2160114 2880152 3960209 4132392 4320228 7920418 8640456 11880627 15840836 23761254 31681672 47522508 95045016