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2258952 = 233611543
BaseRepresentation
bin1000100111100000001000
311020202200220
420213200020
51034241302
6120230040
725125603
oct10474010
94222626
102258952
111303203
1290b320
13611277
1442b33a
152e94bc
hex227808

2258952 has 32 divisors (see below), whose sum is σ = 5743680. Its totient is φ = 740160.

The previous prime is 2258947. The next prime is 2258953. The reversal of 2258952 is 2598522.

2258952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2258953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (179490).

22258952 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 2258952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871840).

2258952 is an abundant number, since it is smaller than the sum of its proper divisors (3484728).

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

2258952 is a wasteful number, since it uses less digits than its factorization.

2258952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1609 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 2258952 is about 1502.9810378045. The cubic root of 2258952 is about 131.2106240158.

The spelling of 2258952 in words is "two million, two hundred fifty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1543 3086 4629 6172 9258 12344 18516 37032 94123 188246 282369 376492 564738 752984 1129476 2258952