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52557400 = 23527231173
BaseRepresentation
bin1100100001111…
…1011001011000
310122220012012101
43020133121120
5101423314100
65114253144
71205505400
oct310373130
9118805171
1052557400
1127738175
12157271b4
13ab7246c
146da1800
15493286a
hex321f658

52557400 has 144 divisors (see below), whose sum is σ = 147579840. Its totient is φ = 17337600.

The previous prime is 52557391. The next prime is 52557409. The reversal of 52557400 is 475525.

52557400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52557391) and next prime (52557409).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52557409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303714 + ... + 303886.

It is an arithmetic number, because the mean of its divisors is an integer number (1024860).

Almost surely, 252557400 is an apocalyptic number.

52557400 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 52557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73789920).

52557400 is an abundant number, since it is smaller than the sum of its proper divisors (95022440).

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

52557400 is a wasteful number, since it uses less digits than its factorization.

52557400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 52557400 is about 7249.6482673299. The cubic root of 52557400 is about 374.5800335544.

The spelling of 52557400 in words is "fifty-two million, five hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 49 50 56 62 70 98 100 124 140 155 173 175 196 200 217 245 248 280 310 346 350 392 434 490 620 692 700 775 865 868 980 1085 1211 1225 1240 1384 1400 1519 1550 1730 1736 1960 2170 2422 2450 3038 3100 3460 4325 4340 4844 4900 5363 5425 6055 6076 6200 6920 7595 8477 8650 8680 9688 9800 10726 10850 12110 12152 15190 16954 17300 21452 21700 24220 26815 30275 30380 33908 34600 37541 37975 42385 42904 43400 48440 53630 60550 60760 67816 75082 75950 84770 107260 121100 134075 150164 151900 169540 187705 211925 214520 242200 262787 268150 300328 303800 339080 375410 423850 525574 536300 750820 847700 938525 1051148 1072600 1313935 1501640 1695400 1877050 2102296 2627870 3754100 5255740 6569675 7508200 10511480 13139350 26278700 52557400