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95125856 = 25721931103
BaseRepresentation
bin1011010101110…
…00000101100000
320121222220010212
411222320011200
5143323011411
613234513252
72233361600
oct552700540
9217886125
1095125856
1149772511
1227a35828
13169280b7
14c8c2c00
15854068b
hex5ab8160

95125856 has 144 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 37013760.

The previous prime is 95125843. The next prime is 95125873. The reversal of 95125856 is 65852159.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 923501 + ... + 923603.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 295125856 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 95125856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

95125856 is an abundant number, since it is smaller than the sum of its proper divisors (143891104).

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

95125856 is a wasteful number, since it uses less digits than its factorization.

95125856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 108000, while the sum is 41.

The square root of 95125856 is about 9753.2484844794. The cubic root of 95125856 is about 456.4916724031.

The spelling of 95125856 in words is "ninety-five million, one hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 103 112 124 133 152 196 206 217 224 248 266 304 392 412 434 496 532 589 608 721 784 824 868 931 992 1064 1178 1442 1519 1568 1648 1736 1862 1957 2128 2356 2884 3038 3193 3296 3472 3724 3914 4123 4256 4712 5047 5768 6076 6386 6944 7448 7828 8246 9424 10094 11536 12152 12772 13699 14896 15656 16492 18848 20188 22351 23072 24304 25544 27398 28861 29792 31312 32984 40376 44702 48608 51088 54796 57722 60667 62624 65968 80752 89404 95893 102176 109592 115444 121334 131936 156457 161504 178808 191786 219184 230888 242668 312914 357616 383572 424669 438368 461776 485336 625828 715232 767144 849338 923552 970672 1251656 1534288 1698676 1941344 2503312 2972683 3068576 3397352 5006624 5945366 6794704 11890732 13589408 23781464 47562928 95125856