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252255003 = 371113167503
BaseRepresentation
bin11110000100100…
…01101100011011
3122120122212210220
433002101230123
51004034130003
641010411123
76152063220
oct1702215433
9576585726
10252255003
1111a433a10
1270590aa3
1340351c20
1425705947
151722c353
hexf091b1b

252255003 has 64 divisors (see below), whose sum is σ = 455196672. Its totient is φ = 119998080.

The previous prime is 252254983. The next prime is 252255043. The reversal of 252255003 is 300552252.

252255003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252255003 - 25 = 252254971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252255043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501250 + ... + 501752.

It is an arithmetic number, because the mean of its divisors is an integer number (7112448).

Almost surely, 2252255003 is an apocalyptic number.

252255003 is a deficient number, since it is larger than the sum of its proper divisors (202941669).

252255003 is a wasteful number, since it uses less digits than its factorization.

252255003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 252255003 is about 15882.5376750694. The cubic root of 252255003 is about 631.8489422599.

It can be divided in two parts, 252 and 255003, that added together give a triangular number (255255 = T714).

The spelling of 252255003 in words is "two hundred fifty-two million, two hundred fifty-five thousand, three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 167 231 273 429 501 503 1001 1169 1509 1837 2171 3003 3507 3521 5511 5533 6513 6539 10563 12859 15197 16599 19617 23881 38577 38731 45591 45773 71643 71929 84001 116193 137319 167167 215787 252003 501501 503503 588007 924011 1092013 1510509 1764021 2772033 3276039 6468077 7644091 12012143 19404231 22932273 36036429 84085001 252255003