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5772384 = 253417131
BaseRepresentation
bin10110000001010001100000
3101212021020000
4112001101200
52434204014
6323420000
7100031052
oct26012140
911767200
105772384
113292972
121b24600
131271517
14aa38d2
15790509
hex581460

5772384 has 120 divisors (see below), whose sum is σ = 18112248. Its totient is φ = 1797120.

The previous prime is 5772359. The next prime is 5772391. The reversal of 5772384 is 4832775.

5772384 is a `hidden beast` number, since 577 + 2 + 3 + 84 = 666.

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

It is a d-powerful number, because it can be written as 55 + 73 + 78 + 23 + 3 + 8 + 46 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43999 + ... + 44129.

Almost surely, 25772384 is an apocalyptic number.

5772384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5772384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056124).

5772384 is an abundant number, since it is smaller than the sum of its proper divisors (12339864).

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

5772384 is a wasteful number, since it uses less digits than its factorization.

5772384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5772384 is about 2402.5786147388. The cubic root of 5772384 is about 179.3845648402.

The spelling of 5772384 in words is "five million, seven hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 131 136 144 153 162 204 216 262 272 288 306 324 393 408 432 459 524 544 612 648 786 816 864 918 1048 1179 1224 1296 1377 1572 1632 1836 2096 2227 2358 2448 2592 2754 3144 3537 3672 4192 4454 4716 4896 5508 6288 6681 7074 7344 8908 9432 10611 11016 12576 13362 14148 14688 17816 18864 20043 21222 22032 26724 28296 35632 37728 40086 42444 44064 53448 56592 60129 71264 80172 84888 106896 113184 120258 160344 169776 180387 213792 240516 320688 339552 360774 481032 641376 721548 962064 1443096 1924128 2886192 5772384