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52107200 = 2652291123
BaseRepresentation
bin1100011011000…
…1011111000000
310122001022122022
43012301133000
5101314412300
65100501012
71201622015
oct306613700
9118038568
1052107200
112745aa02
121554a768
13aa45582
146cc570c
154894285
hex31b17c0

52107200 has 84 divisors (see below), whose sum is σ = 132755640. Its totient is φ = 20106240.

The previous prime is 52107199. The next prime is 52107217. The reversal of 52107200 is 270125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45839 + ... + 46961.

Almost surely, 252107200 is an apocalyptic number.

52107200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66377820).

52107200 is an abundant number, since it is smaller than the sum of its proper divisors (80648440).

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

52107200 is a wasteful number, since it uses less digits than its factorization.

52107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 52107200 is about 7218.5317066561. The cubic root of 52107200 is about 373.5074301386.

Adding to 52107200 its reverse (270125), we get a palindrome (52377325).

The spelling of 52107200 in words is "fifty-two million, one hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 145 160 200 232 290 320 400 464 580 725 800 928 1123 1160 1450 1600 1856 2246 2320 2900 4492 4640 5615 5800 8984 9280 11230 11600 17968 22460 23200 28075 32567 35936 44920 46400 56150 65134 71872 89840 112300 130268 162835 179680 224600 260536 325670 359360 449200 521072 651340 814175 898400 1042144 1302680 1628350 1796800 2084288 2605360 3256700 5210720 6513400 10421440 13026800 26053600 52107200