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52375120 = 2457231431
BaseRepresentation
bin1100011111001…
…0111001010000
310122112221011021
43013302321100
5101402000440
65110325224
71204116100
oct307627120
9118487137
1052375120
1127623226
1215659814
13ab0a4c5
146d55200
1548e884a
hex31f2e50

52375120 has 120 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 17337600.

The previous prime is 52375097. The next prime is 52375129. The reversal of 52375120 is 2157325.

52375120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×523751203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52375129) 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 23 ways as a sum of consecutive naturals, for example, 121305 + ... + 121735.

Almost surely, 252375120 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 52375120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

52375120 is an abundant number, since it is smaller than the sum of its proper divisors (94186928).

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

52375120 is a wasteful number, since it uses less digits than its factorization.

52375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 52375120 is about 7237.0657037227. The cubic root of 52375120 is about 374.1464914615.

The spelling of 52375120 in words is "fifty-two million, three hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 431 434 490 496 560 620 784 862 868 980 1085 1240 1519 1724 1736 1960 2155 2170 2480 3017 3038 3448 3472 3920 4310 4340 6034 6076 6896 7595 8620 8680 12068 12152 13361 15085 15190 17240 17360 21119 24136 24304 26722 30170 30380 34480 42238 48272 53444 60340 60760 66805 84476 93527 105595 106888 120680 121520 133610 168952 187054 211190 213776 241360 267220 337904 374108 422380 467635 534440 654689 748216 844760 935270 1068880 1309378 1496432 1689520 1870540 2618756 3273445 3741080 5237512 6546890 7482160 10475024 13093780 26187560 52375120