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95738656 = 2513373617
BaseRepresentation
bin1011011010011…
…01101100100000
320200011000202011
411231031230200
5144002114111
613300002304
72241523306
oct555155440
9220130664
1095738656
114a050962
1228090394
1316ab0cc0
14ca02276
158612021
hex5b4db20

95738656 has 48 divisors (see below), whose sum is σ = 203858424. Its totient is φ = 43997184.

The previous prime is 95738653. The next prime is 95738689. The reversal of 95738656 is 65683759.

It can be written as a sum of positive squares in 4 ways, for example, as 39488656 + 56250000 = 6284^2 + 7500^2 .

It is not an unprimeable number, because it can be changed into a prime (95738653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154860 + ... + 155476.

Almost surely, 295738656 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 95738656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101929212).

95738656 is an abundant number, since it is smaller than the sum of its proper divisors (108119768).

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

95738656 is a wasteful number, since it uses less digits than its factorization.

95738656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The square root of 95738656 is about 9784.6132268986. The cubic root of 95738656 is about 457.4698135696.

The spelling of 95738656 in words is "ninety-five million, seven hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 373 416 617 746 1234 1492 2468 2984 4849 4936 5968 8021 9698 9872 11936 16042 19396 19744 32084 38792 64168 77584 128336 155168 230141 256672 460282 920564 1841128 2991833 3682256 5983666 7364512 11967332 23934664 47869328 95738656