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60832992 = 2531125237
BaseRepresentation
bin1110100000001…
…1110011100000
311020110122011210
43220003303200
5111033123432
610011510120
71336033443
oct350036340
9136418153
1060832992
113137a800
1218458340
13c7ac16c
14811765a
1555198cc
hex3a03ce0

60832992 has 72 divisors (see below), whose sum is σ = 175556808. Its totient is φ = 18430720.

The previous prime is 60832991. The next prime is 60832997. The reversal of 60832992 is 29923806.

It is a self number, because there is not a number n which added to its sum of digits gives 60832992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60832991) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8998 + ... + 14234.

It is an arithmetic number, because the mean of its divisors is an integer number (2438289).

Almost surely, 260832992 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 60832992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87778404).

60832992 is an abundant number, since it is smaller than the sum of its proper divisors (114723816).

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

60832992 is a wasteful number, since it uses less digits than its factorization.

60832992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 60832992 is about 7799.5507562936. The cubic root of 60832992 is about 393.2901404899.

The spelling of 60832992 in words is "sixty million, eight hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5237 5808 10474 11616 15711 20948 31422 41896 57607 62844 83792 115214 125688 167584 172821 230428 251376 345642 460856 502752 633677 691284 921712 1267354 1382568 1843424 1901031 2534708 2765136 3802062 5069416 5530272 7604124 10138832 15208248 20277664 30416496 60832992