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252280336 = 247111931061
BaseRepresentation
bin11110000100101…
…11111000010000
3122120201011120011
433002113320100
51004040432321
641011124304
76152230120
oct1702277020
9576634504
10252280336
1111a450a50
12705a3694
1340360609
1425710c80
1517234ae1
hexf097e10

252280336 has 80 divisors (see below), whose sum is σ = 613139328. Its totient is φ = 97689600.

The previous prime is 252280333. The next prime is 252280361. The reversal of 252280336 is 633082252.

It is a junction number, because it is equal to n+sod(n) for n = 252280298 and 252280307.

It is not an unprimeable number, because it can be changed into a prime (252280331) 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 15 ways as a sum of consecutive naturals, for example, 237246 + ... + 238306.

Almost surely, 2252280336 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 252280336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306569664).

252280336 is an abundant number, since it is smaller than the sum of its proper divisors (360858992).

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

252280336 is a wasteful number, since it uses less digits than its factorization.

252280336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 252280336 is about 15883.3351661419. The cubic root of 252280336 is about 631.8700929385.

The spelling of 252280336 in words is "two hundred fifty-two million, two hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 193 308 386 616 772 1061 1232 1351 1544 2122 2123 2702 3088 4244 4246 5404 7427 8488 8492 10808 11671 14854 14861 16976 16984 21616 23342 29708 29722 33968 46684 59416 59444 81697 93368 118832 118888 163394 186736 204773 237776 326788 409546 653576 819092 1307152 1433411 1638184 2252503 2866822 3276368 4505006 5733644 9010012 11467288 15767521 18020024 22934576 31535042 36040048 63070084 126140168 252280336