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253885350 = 23523171769
BaseRepresentation
bin11110010000111…
…11101110100110
3122200201201020010
433020133232212
51004443312400
641105351050
76201663345
oct1710375646
9580651203
10253885350
11120347904
1271038486
13407a3024
1425a0bb5c
1517450450
hexf21fba6

253885350 has 96 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 64512000.

The previous prime is 253885301. The next prime is 253885351. The reversal of 253885350 is 53588352.

It is a junction number, because it is equal to n+sod(n) for n = 253885299 and 253885308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253885351) 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 47 ways as a sum of consecutive naturals, for example, 329766 + ... + 330534.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2253885350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253885350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

253885350 is an abundant number, since it is smaller than the sum of its proper divisors (406072410).

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

253885350 is a wasteful number, since it uses less digits than its factorization.

253885350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 253885350 is about 15933.7801541254. The cubic root of 253885350 is about 633.2072525260.

The spelling of 253885350 in words is "two hundred fifty-three million, eight hundred eighty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 71 75 93 142 150 155 186 213 310 355 426 465 710 769 775 930 1065 1538 1550 1775 2130 2201 2307 2325 3550 3845 4402 4614 4650 5325 6603 7690 10650 11005 11535 13206 19225 22010 23070 23839 33015 38450 47678 54599 55025 57675 66030 71517 109198 110050 115350 119195 143034 163797 165075 238390 272995 327594 330150 357585 545990 595975 715170 818985 1191950 1364975 1637970 1692569 1787925 2729950 3385138 3575850 4094925 5077707 8189850 8462845 10155414 16925690 25388535 42314225 50777070 84628450 126942675 253885350