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252204024 = 23319797001
BaseRepresentation
bin11110000100001…
…01001111111000
3122120120021212210
433002011033320
51004031012044
641005335120
76151461462
oct1702051770
9576507783
10252204024
1111a3a9686
12705674a0
1340334967
14256d1132
151721c1b9
hexf0853f8

252204024 has 64 divisors (see below), whose sum is σ = 672192000. Its totient is φ = 78624000.

The previous prime is 252204011. The next prime is 252204031. The reversal of 252204024 is 420402252.

252204024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32524 + ... + 39524.

It is an arithmetic number, because the mean of its divisors is an integer number (10503000).

Almost surely, 2252204024 is an apocalyptic number.

252204024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252204024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336096000).

252204024 is an abundant number, since it is smaller than the sum of its proper divisors (419987976).

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

252204024 is a wasteful number, since it uses less digits than its factorization.

252204024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 252204024 is about 15880.9327182001. The cubic root of 252204024 is about 631.8063752848.

Adding to 252204024 its reverse (420402252), we get a palindrome (672606276).

The spelling of 252204024 in words is "two hundred fifty-two million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 228 237 316 456 474 632 948 1501 1896 3002 4503 6004 7001 9006 12008 14002 18012 21003 28004 36024 42006 56008 84012 133019 168024 266038 399057 532076 553079 798114 1064152 1106158 1596228 1659237 2212316 3192456 3318474 4424632 6636948 10508501 13273896 21017002 31525503 42034004 63051006 84068008 126102012 252204024