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60825696 = 2535910739
BaseRepresentation
bin1110100000001…
…0000001100000
311020110021011120
43220002001200
5111032410241
610011412240
71336003251
oct350020140
9136407146
1060825696
1131375278
1218454080
13c7a8a49
148114b28
155517666
hex3a02060

60825696 has 48 divisors (see below), whose sum is σ = 162388800. Its totient is φ = 19929728.

The previous prime is 60825647. The next prime is 60825697. The reversal of 60825696 is 69652806.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60825697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 11033.

It is an arithmetic number, because the mean of its divisors is an integer number (3383100).

Almost surely, 260825696 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 60825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81194400).

60825696 is an abundant number, since it is smaller than the sum of its proper divisors (101563104).

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

60825696 is a wasteful number, since it uses less digits than its factorization.

60825696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 60825696 is about 7799.0830230226. The cubic root of 60825696 is about 393.2744167875.

The spelling of 60825696 in words is "sixty million, eight hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 10739 21478 32217 42956 64434 85912 128868 171824 257736 343648 515472 633601 1030944 1267202 1900803 2534404 3801606 5068808 7603212 10137616 15206424 20275232 30412848 60825696