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252203644 = 227111971607
BaseRepresentation
bin11110000100001…
…01001001111100
3122120120021100201
433002011021330
51004031004034
641005333244
76151460410
oct1702051174
9576507321
10252203644
1111a3a9370
1270567224
1340334734
14256d0d40
151721c014
hexf08527c

252203644 has 96 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 91627200.

The previous prime is 252203641. The next prime is 252203647. The reversal of 252203644 is 446302252.

252203644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252203641) and next prime (252203647).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252203641) 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 31 ways as a sum of consecutive naturals, for example, 415189 + ... + 415795.

It is an arithmetic number, because the mean of its divisors is an integer number (6128640).

Almost surely, 2252203644 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 252203644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

252203644 is an abundant number, since it is smaller than the sum of its proper divisors (336145796).

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

252203644 is a wasteful number, since it uses less digits than its factorization.

252203644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 252203644 is about 15880.9207541628. The cubic root of 252203644 is about 631.8060579669.

Adding to 252203644 its reverse (446302252), we get a palindrome (698505896).

The spelling of 252203644 in words is "two hundred fifty-two million, two hundred three thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 71 76 77 133 142 154 209 266 284 308 418 497 532 607 781 836 994 1214 1349 1463 1562 1988 2428 2698 2926 3124 4249 5396 5467 5852 6677 8498 9443 10934 11533 13354 14839 16996 18886 21868 23066 26708 29678 37772 43097 46132 46739 59356 80731 86194 93478 103873 126863 161462 172388 186956 207746 253726 301679 322924 415492 474067 507452 603358 818843 888041 948134 1206716 1637686 1776082 1896268 3275372 3318469 3552164 5731901 6636938 9007273 11463802 13273876 18014546 22927604 36029092 63050911 126101822 252203644