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252802272 = 2533184947
BaseRepresentation
bin11110001000101…
…11010011100000
3122121200200112010
433010113103200
51004204133042
641030232520
76156532602
oct1704272340
9577620463
10252802272
1111a7780a8
12707b5740
13404b4058
1425809172
15172d959c
hexf1174e0

252802272 has 48 divisors (see below), whose sum is σ = 685020672. Its totient is φ = 81548160.

The previous prime is 252802271. The next prime is 252802279. The reversal of 252802272 is 272208252.

252802272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252802271) 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 7 ways as a sum of consecutive naturals, for example, 39498 + ... + 45449.

It is an arithmetic number, because the mean of its divisors is an integer number (14271264).

Almost surely, 2252802272 is an apocalyptic number.

It is an amenable number.

252802272 is an abundant number, since it is smaller than the sum of its proper divisors (432218400).

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

252802272 is a wasteful number, since it uses less digits than its factorization.

252802272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84991 (or 84983 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 252802272 is about 15899.7569792749. The cubic root of 252802272 is about 632.3055457895.

The spelling of 252802272 in words is "two hundred fifty-two million, eight hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 84947 169894 254841 339788 509682 679576 1019364 1359152 2038728 2633357 2718304 4077456 5266714 7900071 8154912 10533428 15800142 21066856 31600284 42133712 63200568 84267424 126401136 252802272