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2357253 = 32261917
BaseRepresentation
bin1000111111100000000101
311102202112200
420333200011
51100413003
6122305113
726015313
oct10774005
94382480
102357253
111370048
12958199
13646c32
144550b3
153186a3
hex23f805

2357253 has 6 divisors (see below), whose sum is σ = 3404934. Its totient is φ = 1571496.

The previous prime is 2357249. The next prime is 2357263. The reversal of 2357253 is 3527532.

It can be written as a sum of positive squares in only one way, i.e., 1790244 + 567009 = 1338^2 + 753^2 .

It is not a de Polignac number, because 2357253 - 22 = 2357249 is a prime.

It is a d-powerful number, because it can be written as 219 + 32 + 58 + 74 + 220 + 58 + 36 .

2357253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2357263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130950 + ... + 130967.

It is an arithmetic number, because the mean of its divisors is an integer number (567489).

22357253 is an apocalyptic number.

It is an amenable number.

2357253 is a deficient number, since it is larger than the sum of its proper divisors (1047681).

2357253 is a wasteful number, since it uses less digits than its factorization.

2357253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261923 (or 261920 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 2357253 is about 1535.3348169048. The cubic root of 2357253 is about 133.0869275508.

The spelling of 2357253 in words is "two million, three hundred fifty-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 261917 785751 2357253