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5345952 = 253233239
BaseRepresentation
bin10100011001001010100000
3101001121021020
4110121022200
52332032302
6310325440
763303603
oct24311240
911047236
105345952
113021547
121959880
1311523b1
149d233a
15708ebc
hex5192a0

5345952 has 48 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1766912.

The previous prime is 5345941. The next prime is 5345953. The reversal of 5345952 is 2595435.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5345953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22249 + ... + 22487.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 25345952 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 5345952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5345952 is an abundant number, since it is smaller than the sum of its proper divisors (8806368).

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

5345952 is a wasteful number, since it uses less digits than its factorization.

5345952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 5345952 is about 2312.1314841505. The cubic root of 5345952 is about 174.8537771760.

The spelling of 5345952 in words is "five million, three hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 239 466 478 699 717 932 956 1398 1434 1864 1912 2796 2868 3728 3824 5592 5736 7456 7648 11184 11472 22368 22944 55687 111374 167061 222748 334122 445496 668244 890992 1336488 1781984 2672976 5345952