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252030016 = 2674571231
BaseRepresentation
bin11110000010110…
…10110001000000
3122120020110012001
433001122301000
51004004430031
641001513344
76150135250
oct1701326100
9576213161
10252030016
1111a29a977
12704a2854
13402a36b4
1425687960
15171d5861
hexf05ac40

252030016 has 56 divisors (see below), whose sum is σ = 573284096. Its totient is φ = 107688960.

The previous prime is 252030013. The next prime is 252030017. The reversal of 252030016 is 610030252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 252029975 and 252030002.

It is not an unprimeable number, because it can be changed into a prime (252030013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204121 + ... + 205351.

It is an arithmetic number, because the mean of its divisors is an integer number (10237216).

Almost surely, 2252030016 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 252030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286642048).

252030016 is an abundant number, since it is smaller than the sum of its proper divisors (321254080).

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

252030016 is a wasteful number, since it uses less digits than its factorization.

252030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 252030016 is about 15875.4532533720. The cubic root of 252030016 is about 631.6610370570.

Adding to 252030016 its reverse (610030252), we get a palindrome (862060268).

The spelling of 252030016 in words is "two hundred fifty-two million, thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 457 914 1231 1828 2462 3199 3656 4924 6398 7312 8617 9848 12796 14624 17234 19696 25592 29248 34468 39392 51184 68936 78784 102368 137872 204736 275744 551488 562567 1125134 2250268 3937969 4500536 7875938 9001072 15751876 18002144 31503752 36004288 63007504 126015008 252030016