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5352966 = 234173191
BaseRepresentation
bin10100011010111000000110
3101001221220000
4110122320012
52332243331
6310422130
763333213
oct24327006
911057800
105352966
113026843
121961946
131155648
149d4b0a
1570b0e6
hex51ae06

5352966 has 40 divisors (see below), whose sum is σ = 12127104. Its totient is φ = 1764720.

The previous prime is 5352959. The next prime is 5352967. The reversal of 5352966 is 6692535.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5352966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27931 + ... + 28121.

Almost surely, 25352966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5352966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063552).

5352966 is an abundant number, since it is smaller than the sum of its proper divisors (6774138).

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

5352966 is a wasteful number, since it uses less digits than its factorization.

5352966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 5352966 is about 2313.6477692164. The cubic root of 5352966 is about 174.9302143518.

The spelling of 5352966 in words is "five million, three hundred fifty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 191 346 382 519 573 1038 1146 1557 1719 3114 3438 4671 5157 9342 10314 14013 15471 28026 30942 33043 66086 99129 198258 297387 594774 892161 1784322 2676483 5352966