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5754096 = 2432311289
BaseRepresentation
bin10101111100110011110000
3101211100010200
4111330303300
52433112341
6323155200
766623535
oct25746360
911740120
105754096
113280157
121b15b00
1312660ba
14a9ad8c
15789db6
hex57ccf0

5754096 has 60 divisors (see below), whose sum is σ = 16635840. Its totient is φ = 1854720.

The previous prime is 5754061. The next prime is 5754097. The reversal of 5754096 is 6904575.

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 5754096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754097) 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 11 ways as a sum of consecutive naturals, for example, 3820 + ... + 5108.

It is an arithmetic number, because the mean of its divisors is an integer number (277264).

Almost surely, 25754096 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 5754096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317920).

5754096 is an abundant number, since it is smaller than the sum of its proper divisors (10881744).

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

5754096 is a wasteful number, since it uses less digits than its factorization.

5754096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5754096 is about 2398.7696846509. The cubic root of 5754096 is about 179.1949230598.

The spelling of 5754096 in words is "five million, seven hundred fifty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1289 1488 2232 2578 3867 4464 5156 7734 10312 11601 15468 20624 23202 30936 39959 46404 61872 79918 92808 119877 159836 185616 239754 319672 359631 479508 639344 719262 959016 1438524 1918032 2877048 5754096