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52968192 = 283174057
BaseRepresentation
bin1100101000001…
…1101100000000
310200200001200220
43022003230000
5102024440232
65131143040
71212136134
oct312035400
9120601626
1052968192
1127998872
12158a4a80
13ac87434
14706b3c4
1549b442c
hex3283b00

52968192 has 72 divisors (see below), whose sum is σ = 149301936. Its totient is φ = 16613376.

The previous prime is 52968163. The next prime is 52968199. The reversal of 52968192 is 29186925.

It is not an unprimeable number, because it can be changed into a prime (52968199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11028 + ... + 15084.

It is an arithmetic number, because the mean of its divisors is an integer number (2073638).

Almost surely, 252968192 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 52968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74650968).

52968192 is an abundant number, since it is smaller than the sum of its proper divisors (96333744).

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

52968192 is a wasteful number, since it uses less digits than its factorization.

52968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4079 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 52968192 is about 7277.9249790033. The cubic root of 52968192 is about 375.5534157698.

The spelling of 52968192 in words is "fifty-two million, nine hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4057 4352 6528 8114 12171 13056 16228 24342 32456 48684 64912 68969 97368 129824 137938 194736 206907 259648 275876 389472 413814 519296 551752 778944 827628 1038592 1103504 1557888 1655256 2207008 3115776 3310512 4414016 6621024 8828032 13242048 17656064 26484096 52968192