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252488124 = 223373311009
BaseRepresentation
bin11110000110010…
…10100110111100
3122121002201121000
433003022212330
51004114104444
641015410300
76154053660
oct1703124674
9577081530
10252488124
1111a583079
1270683990
1340404075
14257668a0
1517276469
hexf0ca9bc

252488124 has 96 divisors (see below), whose sum is σ = 751116800. Its totient is φ = 71850240.

The previous prime is 252488113. The next prime is 252488129. The reversal of 252488124 is 421884252.

252488124 is a `hidden beast` number, since 2 + 52 + 488 + 124 = 666.

252488124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2524881242 = 127500505522078752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252488129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249732 + ... + 250740.

Almost surely, 2252488124 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 252488124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375558400).

252488124 is an abundant number, since it is smaller than the sum of its proper divisors (498628676).

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

252488124 is a wasteful number, since it uses less digits than its factorization.

252488124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1352 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 252488124 is about 15889.8748893753. The cubic root of 252488124 is about 632.0435230135.

The spelling of 252488124 in words is "two hundred fifty-two million, four hundred eighty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 331 378 662 756 993 1009 1324 1986 2018 2317 2979 3027 3972 4036 4634 5958 6054 6951 7063 8937 9081 9268 11916 12108 13902 14126 17874 18162 20853 21189 27243 27804 28252 35748 36324 41706 42378 54486 62559 63567 83412 84756 108972 125118 127134 190701 250236 254268 333979 381402 667958 762804 1001937 1335916 2003874 2337853 3005811 4007748 4675706 6011622 7013559 9017433 9351412 12023244 14027118 18034866 21040677 28054236 36069732 42081354 63122031 84162708 126244062 252488124