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5821344 = 2532172941
BaseRepresentation
bin10110001101001110100000
3101221202101100
4112031032200
52442240334
6324434400
7100323564
oct26151640
911852340
105821344
113316731
121b48a00
13128a8a9
14ab76a4
1579ec99
hex58d3a0

5821344 has 144 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1720320.

The previous prime is 5821339. The next prime is 5821349. The reversal of 5821344 is 4431285.

It is an interprime number because it is at equal distance from previous prime (5821339) and next prime (5821349).

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 1411344 = 2100^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5821349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141964 + ... + 142004.

Almost surely, 25821344 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 5821344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

5821344 is an abundant number, since it is smaller than the sum of its proper divisors (12753576).

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

5821344 is a wasteful number, since it uses less digits than its factorization.

5821344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5821344 is about 2412.7461532453. The cubic root of 5821344 is about 179.8903035322.

The spelling of 5821344 in words is "five million, eight hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 41 48 51 58 68 72 82 87 96 102 116 123 136 144 153 164 174 204 232 246 261 272 288 306 328 348 369 408 464 492 493 522 544 612 656 696 697 738 816 928 984 986 1044 1189 1224 1312 1392 1394 1476 1479 1632 1968 1972 2088 2091 2378 2448 2784 2788 2952 2958 3567 3936 3944 4176 4182 4437 4756 4896 5576 5904 5916 6273 7134 7888 8352 8364 8874 9512 10701 11152 11808 11832 12546 14268 15776 16728 17748 19024 20213 21402 22304 23664 25092 28536 33456 35496 38048 40426 42804 47328 50184 57072 60639 66912 70992 80852 85608 100368 114144 121278 141984 161704 171216 181917 200736 242556 323408 342432 363834 485112 646816 727668 970224 1455336 1940448 2910672 5821344