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60829056 = 27345867
BaseRepresentation
bin1110100000001…
…0110110000000
311020110102210000
43220002312000
5111033012211
610011440000
71336016121
oct350026600
9136412700
1060829056
1131377852
1218456000
13c7aa432
148116048
155518656
hex3a02d80

60829056 has 80 divisors (see below), whose sum is σ = 181057140. Its totient is φ = 20272896.

The previous prime is 60829039. The next prime is 60829057. The reversal of 60829056 is 65092806.

It is a super-2 number, since 2×608290562 = 7400348107702272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 60829056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60829057) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7435 + ... + 13301.

Almost surely, 260829056 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 60829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90528570).

60829056 is an abundant number, since it is smaller than the sum of its proper divisors (120228084).

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

60829056 is an equidigital number, since it uses as much as digits as its factorization.

60829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 60829056 is about 7799.2984299871. The cubic root of 60829056 is about 393.2816581224.

The spelling of 60829056 in words is "sixty million, eight hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 5867 10368 11734 17601 23468 35202 46936 52803 70404 93872 105606 140808 158409 187744 211212 281616 316818 375488 422424 475227 563232 633636 750976 844848 950454 1126464 1267272 1689696 1900908 2252928 2534544 3379392 3801816 5069088 6758784 7603632 10138176 15207264 20276352 30414528 60829056