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252039300 = 223523141661
BaseRepresentation
bin11110000010111…
…01000010000100
3122120020220220220
433001131002010
51004010224200
641002024340
76150204312
oct1701350204
9576226826
10252039300
1111a2a6947
12704a80b0
13402a79a6
142568b0b2
15171d84a0
hexf05d084

252039300 has 144 divisors (see below), whose sum is σ = 772283904. Its totient is φ = 63360000.

The previous prime is 252039299. The next prime is 252039323. The reversal of 252039300 is 3930252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380970 + ... + 381630.

Almost surely, 2252039300 is an apocalyptic number.

252039300 is a gapful number since it is divisible by the number (20) 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 252039300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386141952).

252039300 is an abundant number, since it is smaller than the sum of its proper divisors (520244604).

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

252039300 is a wasteful number, since it uses less digits than its factorization.

252039300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 252039300 is about 15875.7456517796. The cubic root of 252039300 is about 631.6687931028.

Adding to 252039300 its reverse (3930252), we get a palindrome (255969552).

The spelling of 252039300 in words is "two hundred fifty-two million, thirty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 123 124 150 155 164 186 205 246 300 310 372 410 465 492 615 620 661 775 820 930 1025 1230 1271 1322 1550 1860 1983 2050 2325 2460 2542 2644 3075 3100 3305 3813 3966 4100 4650 5084 6150 6355 6610 7626 7932 9300 9915 12300 12710 13220 15252 16525 19065 19830 20491 25420 27101 31775 33050 38130 39660 40982 49575 54202 61473 63550 66100 76260 81303 81964 95325 99150 102455 108404 122946 127100 135505 162606 190650 198300 204910 245892 271010 307365 325212 381300 406515 409820 512275 542020 614730 677525 813030 840131 1024550 1229460 1355050 1536825 1626060 1680262 2032575 2049100 2520393 2710100 3073650 3360524 4065150 4200655 5040786 6147300 8130300 8401310 10081572 12601965 16802620 21003275 25203930 42006550 50407860 63009825 84013100 126019650 252039300