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5923296 = 2532131157
BaseRepresentation
bin10110100110000111100000
3102010221020100
4112212013200
53004021141
6330542400
7101230041
oct26460740
912127210
105923296
113386295
121b97a00
1312c5112
14b028c8
157c00b6
hex5a61e0

5923296 has 72 divisors (see below), whose sum is σ = 17081064. Its totient is φ = 1946880.

The previous prime is 5923271. The next prime is 5923297. The reversal of 5923296 is 6923295.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5923296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5923297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37650 + ... + 37806.

It is an arithmetic number, because the mean of its divisors is an integer number (237237).

Almost surely, 25923296 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 5923296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540532).

5923296 is an abundant number, since it is smaller than the sum of its proper divisors (11157768).

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

5923296 is a wasteful number, since it uses less digits than its factorization.

5923296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 5923296 is about 2433.7822416971. The cubic root of 5923296 is about 180.9344002887.

Subtracting 5923296 from its reverse (6923295), we obtain a palindrome (999999).

The spelling of 5923296 in words is "five million, nine hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 157 262 288 314 393 471 524 628 786 942 1048 1179 1256 1413 1572 1884 2096 2358 2512 2826 3144 3768 4192 4716 5024 5652 6288 7536 9432 11304 12576 15072 18864 20567 22608 37728 41134 45216 61701 82268 123402 164536 185103 246804 329072 370206 493608 658144 740412 987216 1480824 1974432 2961648 5923296