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52188192 = 253378629
BaseRepresentation
bin1100011100010…
…1010000100000
310122012102202000
43013011100200
5101330010232
65102324000
71202410110
oct307052040
9118172660
1052188192
1127505841
1215589600
13aa733b4
146d07040
1548ad27c
hex31c5420

52188192 has 96 divisors (see below), whose sum is σ = 173980800. Its totient is φ = 14909184.

The previous prime is 52188179. The next prime is 52188217. The reversal of 52188192 is 29188125.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734 + ... + 10362.

It is an arithmetic number, because the mean of its divisors is an integer number (1812300).

Almost surely, 252188192 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 52188192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86990400).

52188192 is an abundant number, since it is smaller than the sum of its proper divisors (121792608).

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

52188192 is a wasteful number, since it uses less digits than its factorization.

52188192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8641 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 52188192 is about 7224.1395335362. The cubic root of 52188192 is about 373.7008484112.

The spelling of 52188192 in words is "fifty-two million, one hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8629 17258 25887 34516 51774 60403 69032 77661 103548 120806 138064 155322 181209 207096 232983 241612 276128 310644 362418 414192 465966 483224 543627 621288 724836 828384 931932 966448 1087254 1242576 1449672 1630881 1863864 1932896 2174508 2485152 2899344 3261762 3727728 4349016 5798688 6523524 7455456 8698032 13047048 17396064 26094096 52188192