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280168252 = 227134118773
BaseRepresentation
bin10000101100110…
…000011100111100
3201112012000120221
4100230300130330
51033210341002
643444551124
76641251030
oct2054603474
9645160527
10280168252
11134169611
12799b24a4
1346076140
14292d01c0
15198e2c37
hex10b3073c

280168252 has 48 divisors (see below), whose sum is σ = 618190272. Its totient is φ = 108126720.

The previous prime is 280168247. The next prime is 280168253. The reversal of 280168252 is 252861082.

280168252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280168253) 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, 5538 + ... + 24310.

It is an arithmetic number, because the mean of its divisors is an integer number (12878964).

Almost surely, 2280168252 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 280168252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309095136).

280168252 is an abundant number, since it is smaller than the sum of its proper divisors (338022020).

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

280168252 is a wasteful number, since it uses less digits than its factorization.

280168252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18838 (or 18836 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 280168252 is about 16738.2272657531. The cubic root of 280168252 is about 654.3442747158.

The spelling of 280168252 in words is "two hundred eighty million, one hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14924 18773 37546 75092 131411 244049 262822 488098 525644 769693 976196 1539386 1708343 3078772 3416686 5387851 6833372 10006009 10775702 20012018 21551404 40024036 70042063 140084126 280168252