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252065324 = 227171947593
BaseRepresentation
bin11110000011000…
…11011000101100
3122120022020121202
433001203120230
51004012042244
641002345032
76150343220
oct1701433054
9576266552
10252065324
1111a314455
12704bb178
13402b67a4
1425696780
15171e104e
hexf06362c

252065324 has 96 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 94113792.

The previous prime is 252065299. The next prime is 252065327. The reversal of 252065324 is 423560252.

It is not an unprimeable number, because it can be changed into a prime (252065327) 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 31 ways as a sum of consecutive naturals, for example, 424772 + ... + 425364.

It is an arithmetic number, because the mean of its divisors is an integer number (5987520).

Almost surely, 2252065324 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 252065324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

252065324 is an abundant number, since it is smaller than the sum of its proper divisors (322736596).

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

252065324 is a wasteful number, since it uses less digits than its factorization.

252065324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 252065324 is about 15876.5652456695. The cubic root of 252065324 is about 631.6905330761.

The spelling of 252065324 in words is "two hundred fifty-two million, sixty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 47 68 76 94 119 133 188 238 266 323 329 476 532 593 646 658 799 893 1186 1292 1316 1598 1786 2261 2372 3196 3572 4151 4522 5593 6251 8302 9044 10081 11186 11267 12502 15181 16604 20162 22372 22534 25004 27871 30362 40324 45068 55742 60724 70567 78869 106267 111484 141134 157738 191539 195097 212534 282268 315476 383078 390194 425068 473807 529549 766156 780388 947614 1059098 1340773 1895228 2118196 2681546 3316649 3706843 5363092 6633298 7413686 9002333 13266596 14827372 18004666 36009332 63016331 126032662 252065324