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95072292 = 2235789157
BaseRepresentation
bin1011010101010…
…11000000100100
320121220011200000
411222223000210
5143314303132
613233421300
72233046460
oct552530044
9217804600
1095072292
1149736247
1227a0a830
13169098c3
14c8ab4a0
15852e87c
hex5aab024

95072292 has 144 divisors (see below), whose sum is σ = 289860480. Its totient is φ = 26687232.

The previous prime is 95072287. The next prime is 95072303. The reversal of 95072292 is 29227059.

It is a super-2 number, since 2×950722922 = 18077481412266528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605478 + ... + 605634.

It is an arithmetic number, because the mean of its divisors is an integer number (2012920).

Almost surely, 295072292 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 95072292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144930240).

95072292 is an abundant number, since it is smaller than the sum of its proper divisors (194788188).

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

95072292 is a wasteful number, since it uses less digits than its factorization.

95072292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 95072292 is about 9750.5021409156. The cubic root of 95072292 is about 456.4059750199.

The spelling of 95072292 in words is "ninety-five million, seventy-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 89 108 126 157 162 178 189 243 252 267 314 324 356 378 471 486 534 567 623 628 756 801 942 972 1068 1099 1134 1246 1413 1602 1701 1869 1884 2198 2268 2403 2492 2826 3204 3297 3402 3738 4239 4396 4806 5607 5652 6594 6804 7209 7476 8478 9612 9891 11214 12717 13188 13973 14418 16821 16956 19782 21627 22428 25434 27946 28836 29673 33642 38151 39564 41919 43254 50463 50868 55892 59346 67284 76302 83838 86508 89019 97811 100926 118692 125757 151389 152604 167676 178038 195622 201852 251514 267057 293433 302778 356076 377271 391244 503028 534114 586866 605556 754542 880299 1068228 1131813 1173732 1509084 1760598 2263626 2640897 3395439 3521196 4527252 5281794 6790878 7922691 10563588 13581756 15845382 23768073 31690764 47536146 95072292