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53250400 = 2552737257
BaseRepresentation
bin1100101100100…
…0100101100000
310201012101211001
43023020211200
5102113003100
65141201344
71214422660
oct313104540
9121171731
1053250400
11280708a5
1215a00254
13b055a18
1471021a0
154a1cd6a
hex32c8960

53250400 has 144 divisors (see below), whose sum is σ = 153177696. Its totient is φ = 17694720.

The previous prime is 53250397. The next prime is 53250413. The reversal of 53250400 is 405235.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207072 + ... + 207328.

It is an arithmetic number, because the mean of its divisors is an integer number (1063734).

Almost surely, 253250400 is an apocalyptic number.

53250400 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 53250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76588848).

53250400 is an abundant number, since it is smaller than the sum of its proper divisors (99927296).

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

53250400 is a wasteful number, since it uses less digits than its factorization.

53250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 53250400 is about 7297.2871671601. The cubic root of 53250400 is about 376.2192021972.

Adding to 53250400 its reverse (405235), we get a palindrome (53655635).

The spelling of 53250400 in words is "fifty-three million, two hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 70 74 80 100 112 140 148 160 175 185 200 224 257 259 280 296 350 370 400 514 518 560 592 700 740 800 925 1028 1036 1120 1184 1285 1295 1400 1480 1799 1850 2056 2072 2570 2590 2800 2960 3598 3700 4112 4144 5140 5180 5600 5920 6425 6475 7196 7400 8224 8288 8995 9509 10280 10360 12850 12950 14392 14800 17990 19018 20560 20720 25700 25900 28784 29600 35980 38036 41120 41440 44975 47545 51400 51800 57568 66563 71960 76072 89950 95090 102800 103600 133126 143920 152144 179900 190180 205600 207200 237725 266252 287840 304288 332815 359800 380360 475450 532504 665630 719600 760720 950900 1065008 1331260 1439200 1521440 1664075 1901800 2130016 2662520 3328150 3803600 5325040 6656300 7607200 10650080 13312600 26625200 53250400