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252045300 = 223521364627
BaseRepresentation
bin11110000010111…
…10011111110100
3122120021020011010
433001132133310
51004010422200
641002112220
76150230643
oct1701363764
9576236133
10252045300
1111a300401
12704ab670
13402aa640
142568d35a
15171da150
hexf05e7f4

252045300 has 72 divisors (see below), whose sum is σ = 785359456. Its totient is φ = 62040960.

The previous prime is 252045259. The next prime is 252045307. The reversal of 252045300 is 3540252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252045307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28414 + ... + 36213.

Almost surely, 2252045300 is an apocalyptic number.

252045300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252045300 is an abundant number, since it is smaller than the sum of its proper divisors (533314156).

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

252045300 is a wasteful number, since it uses less digits than its factorization.

252045300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64657 (or 64650 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 252045300 is about 15875.9346181571. The cubic root of 252045300 is about 631.6738055257.

Adding to 252045300 its reverse (3540252), we get a palindrome (255585552).

The spelling of 252045300 in words is "two hundred fifty-two million, forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 64627 129254 193881 258508 323135 387762 646270 775524 840151 969405 1292540 1615675 1680302 1938810 2520453 3231350 3360604 3877620 4200755 4847025 5040906 6462700 8401510 9694050 10081812 12602265 16803020 19388100 21003775 25204530 42007550 50409060 63011325 84015100 126022650 252045300