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252138612 = 223117924179
BaseRepresentation
bin11110000011101…
…01010001110100
3122120102222011010
433001311101310
51004021413422
641004112220
76151066665
oct1701652164
9576388133
10252138612
1111a364520
1270535670
1340310c5b
14256b536c
1517207b0c
hexf075474

252138612 has 48 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 75435360.

The previous prime is 252138589. The next prime is 252138613. The reversal of 252138612 is 216831252.

252138612 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-2 number, since 2×2521386122 = 127147759322573088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252138612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252138613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662 + ... + 22517.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2252138612 is an apocalyptic number.

252138612 is a gapful number since it is divisible by the number (22) 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 252138612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

252138612 is an abundant number, since it is smaller than the sum of its proper divisors (397819788).

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

252138612 is a wasteful number, since it uses less digits than its factorization.

252138612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24276 (or 24274 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 252138612 is about 15878.8731338216. The cubic root of 252138612 is about 631.7517484904.

Adding to 252138612 its reverse (216831252), we get a palindrome (468969864).

The spelling of 252138612 in words is "two hundred fifty-two million, one hundred thirty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 24179 48358 72537 96716 145074 265969 290148 531938 797907 1063876 1595814 1910141 3191628 3820282 5730423 7640564 11460846 21011551 22921692 42023102 63034653 84046204 126069306 252138612