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5958252 = 2233431283
BaseRepresentation
bin10110101110101001101100
3102012201012000
4112232221230
53011131002
6331412300
7101433666
oct26565154
912181160
105958252
1133aa583
121bb4090
131307cc1
14b11536
157ca61c
hex5aea6c

5958252 has 48 divisors (see below), whose sum is σ = 15818880. Its totient is φ = 1938384.

The previous prime is 5958247. The next prime is 5958257. The reversal of 5958252 is 2528595.

It is an interprime number because it is at equal distance from previous prime (5958247) and next prime (5958257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 53 + 97 + 56 + 82 + 215 + 57 + 220 .

It is not an unprimeable number, because it can be changed into a prime (5958257) 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 15 ways as a sum of consecutive naturals, for example, 4003 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (329560).

Almost surely, 25958252 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 5958252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909440).

5958252 is an abundant number, since it is smaller than the sum of its proper divisors (9860628).

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

5958252 is a wasteful number, since it uses less digits than its factorization.

5958252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5958252 is about 2440.9530925440. The cubic root of 5958252 is about 181.2896271659.

It can be divided in two parts, 59 and 58252, that added together give a triangular number (58311 = T341).

The spelling of 5958252 in words is "five million, nine hundred fifty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1283 1548 2322 2566 3849 4644 5132 7698 11547 15396 23094 34641 46188 55169 69282 110338 138564 165507 220676 331014 496521 662028 993042 1489563 1986084 2979126 5958252