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5947872 = 253753167
BaseRepresentation
bin10110101100000111100000
3102012011221120
4112230013200
53010312442
6331252240
7101361510
oct26540740
912164846
105947872
1133a27a7
121baa080
131303368
14b0b840
157c74ec
hex5ac1e0

5947872 has 96 divisors (see below), whose sum is σ = 18289152. Its totient is φ = 1657344.

The previous prime is 5947867. The next prime is 5947873. The reversal of 5947872 is 2787495.

5947872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 57 + 94 + 48 + 72 + 85 + 78 + 25 .

Its product of digits (141120) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5947873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35533 + ... + 35699.

It is an arithmetic number, because the mean of its divisors is an integer number (190512).

Almost surely, 25947872 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 5947872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576).

5947872 is an abundant number, since it is smaller than the sum of its proper divisors (12341280).

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

5947872 is a wasteful number, since it uses less digits than its factorization.

5947872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 5947872 is about 2438.8259470491. The cubic root of 5947872 is about 181.1842897753.

The spelling of 5947872 in words is "five million, nine hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 167 168 212 224 318 334 336 371 424 501 636 668 672 742 848 1002 1113 1169 1272 1336 1484 1696 2004 2226 2338 2544 2672 2968 3507 4008 4452 4676 5088 5344 5936 7014 8016 8851 8904 9352 11872 14028 16032 17702 17808 18704 26553 28056 35404 35616 37408 53106 56112 61957 70808 106212 112224 123914 141616 185871 212424 247828 283232 371742 424848 495656 743484 849696 991312 1486968 1982624 2973936 5947872