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95061648 = 24311435379
BaseRepresentation
bin1011010101010…
…00011010010000
320121212122001210
411222220122100
5143313433043
613233300120
72233003443
oct552503220
9217778053
1095061648
1149729250
1227a04640
1316904ac6
14c8a765a
15852b633
hex5aa8690

95061648 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 27256320.

The previous prime is 95061647. The next prime is 95061679. The reversal of 95061648 is 84616059.

It is not an unprimeable number, because it can be changed into a prime (95061647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1203273 + ... + 1203351.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 295061648 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 95061648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

95061648 is an abundant number, since it is smaller than the sum of its proper divisors (187777392).

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

95061648 is a wasteful number, since it uses less digits than its factorization.

95061648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 95061648 is about 9749.9563075944. The cubic root of 95061648 is about 456.3889417834.

The spelling of 95061648 in words is "ninety-five million, sixty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 53 66 79 86 88 106 129 132 158 159 172 176 212 237 258 264 316 318 344 424 473 474 516 528 583 632 636 688 848 869 946 948 1032 1166 1264 1272 1419 1738 1749 1892 1896 2064 2279 2332 2544 2607 2838 3397 3476 3498 3784 3792 4187 4558 4664 5214 5676 6794 6837 6952 6996 7568 8374 9116 9328 10191 10428 11352 12561 13588 13674 13904 13992 16748 18232 20382 20856 22704 25069 25122 27176 27348 27984 33496 36464 37367 40764 41712 46057 50138 50244 54352 54696 66992 74734 75207 81528 92114 100276 100488 109392 112101 138171 149468 150414 163056 180041 184228 200552 200976 224202 276342 298936 300828 360082 368456 401104 448404 540123 552684 597872 601656 720164 736912 896808 1080246 1105368 1203312 1440328 1793616 1980451 2160492 2210736 2880656 3960902 4320984 5941353 7921804 8641968 11882706 15843608 23765412 31687216 47530824 95061648