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95445072 = 243217127307
BaseRepresentation
bin1011011000001…
…10000001010000
320122121010000200
411230012001100
5143413220242
613245415200
72236161342
oct554060120
9218533020
1095445072
1149970328
1227b6a500
1316a0a498
14c967292
1585a504c
hex5b06050

95445072 has 120 divisors (see below), whose sum is σ = 285981696. Its totient is φ = 29611008.

The previous prime is 95445071. The next prime is 95445073. The reversal of 95445072 is 27054459.

It is an interprime number because it is at equal distance from previous prime (95445071) and next prime (95445073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95445071) 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, 310743 + ... + 311049.

Almost surely, 295445072 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 95445072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

95445072 is an abundant number, since it is smaller than the sum of its proper divisors (190536624).

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

95445072 is a wasteful number, since it uses less digits than its factorization.

95445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 95445072 is about 9769.5993776613. The cubic root of 95445072 is about 457.0017221309.

The spelling of 95445072 in words is "ninety-five million, four hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 127 136 144 153 204 254 272 306 307 381 408 508 612 614 762 816 921 1016 1143 1224 1228 1524 1842 2032 2159 2286 2448 2456 2763 3048 3684 4318 4572 4912 5219 5526 6096 6477 7368 8636 9144 10438 11052 12954 14736 15657 17272 18288 19431 20876 22104 25908 31314 34544 38862 38989 41752 44208 46971 51816 62628 77724 77978 83504 93942 103632 116967 125256 155448 155956 187884 233934 250512 310896 311912 350901 375768 467868 623824 662813 701802 751536 935736 1325626 1403604 1871472 1988439 2651252 2807208 3976878 5302504 5614416 5965317 7953756 10605008 11930634 15907512 23861268 31815024 47722536 95445072