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96152706 = 23213537753
BaseRepresentation
bin1011011101100…
…10110010000010
320200221001201100
411232302302002
5144103341311
613312515230
72245166406
oct556626202
9220831640
1096152706
114a303a51
122824bb16
1316bc75c0
14caad106
158694a56
hex5bb2c82

96152706 has 48 divisors (see below), whose sum is σ = 228618936. Its totient is φ = 29023488.

The previous prime is 96152701. The next prime is 96152729. The reversal of 96152706 is 60725169.

It can be written as a sum of positive squares in 4 ways, for example, as 94887081 + 1265625 = 9741^2 + 1125^2 .

It is a super-2 number, since 2×961527062 = 18490685742244872, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96152701) 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 23 ways as a sum of consecutive naturals, for example, 8526 + ... + 16278.

Almost surely, 296152706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96152706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114309468).

96152706 is an abundant number, since it is smaller than the sum of its proper divisors (132466230).

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

96152706 is a wasteful number, since it uses less digits than its factorization.

96152706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827 (or 7824 counting only the distinct ones).

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

The square root of 96152706 is about 9805.7486200698. The cubic root of 96152706 is about 458.1283527552.

It can be divided in two parts, 9615 and 2706, that added together give a palindrome (12321).

The spelling of 96152706 in words is "ninety-six million, one hundred fifty-two thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 7753 12402 15506 23259 46518 69777 100789 139554 201578 302367 410909 604734 821818 907101 1232727 1814202 2465454 3698181 5341817 7396362 10683634 16025451 32050902 48076353 96152706